Greatest Common Factor of 8918/934, 9636/2279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8918/934, 9636/2279

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 8918/934,9636/2279

Given fractions are 8918/934,9636/2279

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 8918,9636

Greatest Common Factor of Numerators i.e. GCF of 8918,9636 is 2 .

LCM of Denominators means LCM of 934,2279 as per the given fractions.

LCM of 934,2279 is 2128586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8918,9636

GCF of Fractions 8918/934,9636/2279 is 2/2128586

2 8918, 9636
4459, 4818

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

Greatest Common Factor of 8918,9636 By Matching Biggest Common Factor Method

Greatest Common Factor of 8918,9636 By Matching Biggest Common Factor Method

Factors of 8918

List of positive integer factors of 8918 that divides 8918 without a remainder.

1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918

Factors of 9636

List of positive integer factors of 9636 that divides 9636 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636

Greatest Common Factor

We found the factors 8918,9636 . The biggest common factor number is the GCF number.
So the greatest common factor 8918,9636 is 2.

Lets's calculate LCM of 934,2279

Given numbers has no common factors except 1. So, there LCM is their product i.e 2128586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2128586

Therefore, the GCF of Fractions 8918/934,9636/2279 is 2/2128586

Least Common Multiple of 934,2279 with GCF Formula

Least Common Multiple of 934,2279 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 934,2279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,2279) = 1

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

GCF(934,2279) x common factors =1 x 1 = 1

LCM(934,2279) = ( 934 × 2279 ) / 1

LCM(934,2279) = 2128586 / 1

LCM(934,2279) = 2128586


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 8918/934, 9636/2279

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 8918/934, 9636/2279?

Answer: GCF of Numerators as per given numbers 8918/934, 9636/2279 is

GCF of Numerators i.e. for 8918,9636 is 2

LCM of denominators i.e. for 934,2279 is 2128586.

Thus, GCF of Fractions is 2/2128586.Finally, GCF of Fractions for 8918/934, 9636/2279 is 2/2128586.