Greatest Common Factor of 9816/64, 8912/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9816/64, 8912/854

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 9816/64,8912/854

Given fractions are 9816/64,8912/854

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 9816,8912

Greatest Common Factor of Numerators i.e. GCF of 9816,8912 is 8 .

LCM of Denominators means LCM of 64,854 as per the given fractions.

LCM of 64,854 is 27328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9816,8912

GCF of Fractions 9816/64,8912/854 is 8/27328

2 9816, 8912
2 4908, 4456
2 2454, 2228
1227, 1114

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9816,8912 By Matching Biggest Common Factor Method

Greatest Common Factor of 9816,8912 By Matching Biggest Common Factor Method

Factors of 9816

List of positive integer factors of 9816 that divides 9816 without a remainder.

1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816

Factors of 8912

List of positive integer factors of 8912 that divides 8912 without a remainder.

1,2,4,8,16,557,1114,2228,4456,8912

Greatest Common Factor

We found the factors 9816,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 9816,8912 is 8.

Lets's calculate LCM of 64,854

2 64, 854
32, 427

∴ So the LCM of the given numbers is 2 x 32 x 427 = 27328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/27328

Therefore, the GCF of Fractions 9816/64,8912/854 is 8/27328

Least Common Multiple of 64,854 with GCF Formula

Least Common Multiple of 64,854 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 64,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,854) = 2

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

GCF(64,854) x common factors =2 x 1 = 2

LCM(64,854) = ( 64 × 854 ) / 2

LCM(64,854) = 54656 / 2

LCM(64,854) = 27328


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 9816/64, 8912/854

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 9816/64, 8912/854?

Answer: GCF of Numerators as per given numbers 9816/64, 8912/854 is

GCF of Numerators i.e. for 9816,8912 is 8

LCM of denominators i.e. for 64,854 is 27328.

Thus, GCF of Fractions is 8/27328.Finally, GCF of Fractions for 9816/64, 8912/854 is 8/27328.