Greatest Common Factor of 9256/477, 1974/6894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9256/477, 1974/6894

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 9256/477,1974/6894

Given fractions are 9256/477,1974/6894

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 9256,1974

Greatest Common Factor of Numerators i.e. GCF of 9256,1974 is 2 .

LCM of Denominators means LCM of 477,6894 as per the given fractions.

LCM of 477,6894 is 365382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9256,1974

GCF of Fractions 9256/477,1974/6894 is 2/365382

2 9256, 1974
4628, 987

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

Greatest Common Factor of 9256,1974 By Matching Biggest Common Factor Method

Greatest Common Factor of 9256,1974 By Matching Biggest Common Factor Method

Factors of 9256

List of positive integer factors of 9256 that divides 9256 without a remainder.

1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256

Factors of 1974

List of positive integer factors of 1974 that divides 1974 without a remainder.

1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974

Greatest Common Factor

We found the factors 9256,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 9256,1974 is 2.

Lets's calculate LCM of 477,6894

3 477, 6894
3 159, 2298
53, 766

∴ So the LCM of the given numbers is 3 x 3 x 53 x 766 = 365382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/365382

Therefore, the GCF of Fractions 9256/477,1974/6894 is 2/365382

Least Common Multiple of 477,6894 with GCF Formula

Least Common Multiple of 477,6894 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 477,6894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,6894) = 9

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

GCF(477,6894) x common factors =9 x 1 = 9

LCM(477,6894) = ( 477 × 6894 ) / 9

LCM(477,6894) = 3288438 / 9

LCM(477,6894) = 365382


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 9256/477, 1974/6894

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 9256/477, 1974/6894?

Answer: GCF of Numerators as per given numbers 9256/477, 1974/6894 is

GCF of Numerators i.e. for 9256,1974 is 2

LCM of denominators i.e. for 477,6894 is 365382.

Thus, GCF of Fractions is 2/365382.Finally, GCF of Fractions for 9256/477, 1974/6894 is 2/365382.