Greatest Common Factor of 272/470, 7744/2936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/470, 7744/2936

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 272/470,7744/2936

Given fractions are 272/470,7744/2936

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 272,7744

Greatest Common Factor of Numerators i.e. GCF of 272,7744 is 16 .

LCM of Denominators means LCM of 470,2936 as per the given fractions.

LCM of 470,2936 is 689960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,7744

GCF of Fractions 272/470,7744/2936 is 16/689960

2 272, 7744
2 136, 3872
2 68, 1936
2 34, 968
17, 484

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 272,7744 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,7744 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 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744

Greatest Common Factor

We found the factors 272,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 272,7744 is 16.

Lets's calculate LCM of 470,2936

2 470, 2936
235, 1468

∴ So the LCM of the given numbers is 2 x 235 x 1468 = 689960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/689960

Therefore, the GCF of Fractions 272/470,7744/2936 is 16/689960

Least Common Multiple of 470,2936 with GCF Formula

Least Common Multiple of 470,2936 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 470,2936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,2936) = 2

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

GCF(470,2936) x common factors =2 x 1 = 2

LCM(470,2936) = ( 470 × 2936 ) / 2

LCM(470,2936) = 1379920 / 2

LCM(470,2936) = 689960


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 272/470, 7744/2936

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 272/470, 7744/2936?

Answer: GCF of Numerators as per given numbers 272/470, 7744/2936 is

GCF of Numerators i.e. for 272,7744 is 16

LCM of denominators i.e. for 470,2936 is 689960.

Thus, GCF of Fractions is 16/689960.Finally, GCF of Fractions for 272/470, 7744/2936 is 16/689960.