Greatest Common Factor of 4970/231, 1954/6272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4970/231, 1954/6272

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 4970/231,1954/6272

Given fractions are 4970/231,1954/6272

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 4970,1954

Greatest Common Factor of Numerators i.e. GCF of 4970,1954 is 2 .

LCM of Denominators means LCM of 231,6272 as per the given fractions.

LCM of 231,6272 is 206976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4970,1954

GCF of Fractions 4970/231,1954/6272 is 2/206976

2 4970, 1954
2485, 977

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

Greatest Common Factor of 4970,1954 By Matching Biggest Common Factor Method

Greatest Common Factor of 4970,1954 By Matching Biggest Common Factor Method

Factors of 4970

List of positive integer factors of 4970 that divides 4970 without a remainder.

1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970

Factors of 1954

List of positive integer factors of 1954 that divides 1954 without a remainder.

1,2,977,1954

Greatest Common Factor

We found the factors 4970,1954 . The biggest common factor number is the GCF number.
So the greatest common factor 4970,1954 is 2.

Lets's calculate LCM of 231,6272

7 231, 6272
33, 896

∴ So the LCM of the given numbers is 7 x 33 x 896 = 206976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/206976

Therefore, the GCF of Fractions 4970/231,1954/6272 is 2/206976

Least Common Multiple of 231,6272 with GCF Formula

Least Common Multiple of 231,6272 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 231,6272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,6272) = 7

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

GCF(231,6272) x common factors =7 x 1 = 7

LCM(231,6272) = ( 231 × 6272 ) / 7

LCM(231,6272) = 1448832 / 7

LCM(231,6272) = 206976


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4970/231, 1954/6272

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 4970/231, 1954/6272?

Answer: GCF of Numerators as per given numbers 4970/231, 1954/6272 is

GCF of Numerators i.e. for 4970,1954 is 2

LCM of denominators i.e. for 231,6272 is 206976.

Thus, GCF of Fractions is 2/206976.Finally, GCF of Fractions for 4970/231, 1954/6272 is 2/206976.