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Class 4 Maths Study Material

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HCF and LCM

Find L.C.M of 36 and 84 ?

a) 250
b) 252
c) 200
d) 120

✔Answer

✔Solution

Correct Answer Is : 252

Solution Is : Hint:- Choose the highest powers of the prime factors

Find H.C.F of 124 and 326 ?

a) 2
b) 4
c) 8
d) 6

✔Answer

✔Solution

Correct Answer Is : 2

Solution Is : Hint:- Choose the lowest powers of the common prime factors

Find the greatest number that will divide 64, 108 and 224 so as to leave the same remainder in each case.

a) 6
b) 8
c) 4
d) 2

✔Answer

✔Solution

Correct Answer Is : 4

Solution Is : Required number = H.C.F. of (108 - 64), (224 - 108) and (224 - 64)

The product of the LCM and HCF of two numbers is 84. The difference of the two numbers is 8. Find the numbers.

a) 12 and 6
b) 14 and 6
c) 21 and 4
d) 2 and 42

✔Answer

✔Solution

Correct Answer Is : 14 and 6

Solution Is : Hint:- let two numbers are x and x-8 .Then apply product of two numbers = L.C.M * H.C.F

Find the H.C.F.of 13433, 172642 , 1332

a) 39
b) 78
c) 273
d) 156

✔Answer

✔Solution

Correct Answer Is : 39

Solution Is : Hint:- Choose the lowest powers of the common prime factors

Find the H.C.F of three numbers in the ratio 4: 6: 8 and their L.C.M is 2304.

a) 48
b) 24
c) 56
d) 72

✔Answer

✔Solution

Correct Answer Is : 24

Solution Is : Let the numbers are 4x , 6x , 8x .Their L.C.M is 192 x = 2304 i.e. x = 12.Therefore H.C.F of numbers (4 * 12), (6 * 12) and ( 8 * 12) is

What is the least

a) 123
b) 120
c) 124
d) 125

✔Answer

✔Solution

Correct Answer Is : 125

Solution Is : Hint:- The least number means L.C.M of 3,5,6 and 8.As it leaves remainder 5 to get it add 5 to their L.C.M .

Find the largest number that divides 124 and 82 leaving 4 as remainder.

a) 5
b) 4
c) 6
d) 7

✔Answer

✔Solution

Correct Answer Is : 6

Solution Is : The number divides exactly (124 - 4) = 120 the number divides exactly (82 - 4) = 78 therefore largest number that divides both is H.C.F of 120 and 78 is 6 .

Find the smallest number which on adding 15 to it is exactly divisible by 14, 48, 56?

a) 320
b) 321
c) 325
d) 336

✔Answer

✔Solution

Correct Answer Is : 321

Solution Is : L.C.M of 14, 48, 56 is 336 .Therefore, smallest number is 336 - 15 = 321

Find the greatest number that will divide 147,185 and 251

a) 60
b) 216
c) 12
d) 24

✔Answer

✔Solution

Correct Answer Is : 12

Solution Is : Hint: H.C.F of ( 147 - 3 ) , ( 185 - 5 ) and (251 -11)

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Class 4 Maths Study Material

HCF and LCM

Find L.C.M of 36 and 84 ?

Correct Answer Is : 252

Solution Is : Hint:- Choose the highest powers of the prime factors

Find H.C.F of 124 and 326 ?

Correct Answer Is : 2

Solution Is : Hint:- Choose the lowest powers of the common prime factors

Find the greatest number that will divide 64, 108 and 224 so as to leave the same remainder in each case.

Correct Answer Is : 4

Solution Is : Required number = H.C.F. of (108 - 64), (224 - 108) and (224 - 64)

The product of the LCM and HCF of two numbers is 84. The difference of the two numbers is 8. Find the numbers.

Correct Answer Is : 14 and 6

Solution Is : Hint:- let two numbers are x and x-8 .Then apply product of two numbers = L.C.M * H.C.F

Find the H.C.F.of 13*43*3, 17*26*42 , 13*3*2

Correct Answer Is : 39

Solution Is : Hint:- Choose the lowest powers of the common prime factors

Find the H.C.F of three numbers in the ratio 4: 6: 8 and their L.C.M is 2304.

Correct Answer Is : 24

Solution Is : Let the numbers are 4x , 6x , 8x .Their L.C.M is 192 x = 2304 i.e. x = 12.Therefore H.C.F of numbers (4 * 12), (6 * 12) and ( 8 * 12) is

What is the least

Correct Answer Is : 125

Solution Is : Hint:- The least number means L.C.M of 3,5,6 and 8.As it leaves remainder 5 to get it add 5 to their L.C.M .

Find the largest number that divides 124 and 82 leaving 4 as remainder.

Correct Answer Is : 6

Solution Is : The number divides exactly (124 - 4) = 120 the number divides exactly (82 - 4) = 78 therefore largest number that divides both is H.C.F of 120 and 78 is 6 .

Find the smallest number which on adding 15 to it is exactly divisible by 14, 48, 56?

Correct Answer Is : 321

Solution Is : L.C.M of 14, 48, 56 is 336 .Therefore, smallest number is 336 - 15 = 321

Find the greatest number that will divide 147,185 and 251

Correct Answer Is : 12

Solution Is : Hint: H.C.F of ( 147 - 3 ) , ( 185 - 5 ) and (251 -11)

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Find the H.C.F.of 13433, 172642 , 1332