Greatest Common Factor of 272/62, 196/2656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 272/62, 196/2656

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 272/62,196/2656

Given fractions are 272/62,196/2656

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 272,196

Greatest Common Factor of Numerators i.e. GCF of 272,196 is 4 .

LCM of Denominators means LCM of 62,2656 as per the given fractions.

LCM of 62,2656 is 82336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,196

GCF of Fractions 272/62,196/2656 is 4/82336

2 272, 196
2 136, 98
68, 49

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 272,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,196 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 272,196 . The biggest common factor number is the GCF number.
So the greatest common factor 272,196 is 4.


Lets's calculate LCM of 62,2656

2 62, 2656
31, 1328

∴ So the LCM of the given numbers is 2 x 31 x 1328 = 82336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/82336

Therefore, the GCF of Fractions 272/62,196/2656 is 4/82336

Least Common Multiple of 62,2656 with GCF Formula

Least Common Multiple of 62,2656 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 62,2656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,2656) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(62,2656) x common factors =2 x 1 = 2

LCM(62,2656) = ( 62 × 2656 ) / 2

LCM(62,2656) = 164672 / 2

LCM(62,2656) = 82336


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 272/62, 196/2656

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 272/62, 196/2656?

Answer: GCF of Numerators as per given numbers 272/62, 196/2656 is

GCF of Numerators i.e. for 272,196 is 4

LCM of denominators i.e. for 62,2656 is 82336.

Thus, GCF of Fractions is 4/82336.Finally, GCF of Fractions for 272/62, 196/2656 is 4/82336.