LCM and HCF
 Find the HCF of 4/5 and 7/15?

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HCF of fractions = (HCF of numerators) / (LCM of denominators)
Correct Option: C
We know that,
HCF of fractions = (HCF of numerators) / (LCM of denominators)
∴ Required HCF = (HCF of 4 and 7) / (LCM of 5 and 15)
=1/15
 Consider the number between 300 and 400 which when divided by 12, 18 and 36 leaves 4 as remainder in each case. what is the sum of the number ?

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LCM of (12,18, 36) = 36
∴ A number greater than 300 on dividing by 36 leaves a remainder 4 = (36 x 9) + 4 = 328
Next numbe r = 328 + 36 = 364Correct Option: B
LCM of (12,18, 36) = 36
∴ A number greater than 300 on dividing by 36 leaves a remainder 4 = (36 x 9) + 4 = 328
Next numbe r = 328 + 36 = 364
∴ Sum of number = 328 + 364 = 692
 Find the HCF of 132, 204 and 228.

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132 = 2 x 2 x 3 x 11
240 = 2 x 2 x 2 x 2 x 3 x 5
228 = 2 x 2 x 3 x 19Correct Option: A
132 = 2 x 2 x 3 x 11
240 = 2 x 2 x 2 x 2 x 3 x 5
228 = 2 x 2 x 3 x 19
Hence, HCF of 132, 204 and 228 = 2 x 2 x 3 = 12
 What is the greatest number which divides 390, 480 and 620 so as to leave the same remainder in each case ?

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The HCF of [(480  390), (620  480), (620  390)]
Correct Option: B
The HCF of [(480  390), (620  480), (620  390)]
= HCF of 90, 140, 230 = 10
 Find the HCF of 1/2, 3/4, and 4/5?

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Required HCF = (HCF of numerators) / (LCM of denominators)
Correct Option: A
Required HCF = (HCF of numerators) / (LCM of denominators)
= (HCF of 1, 3 and 4) / (LCM of 2, 4, and 5)
= 1/20