Greatest Common Factor of 2228/12, 6964/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2228/12, 6964/931

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 2228/12,6964/931

Given fractions are 2228/12,6964/931

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 2228,6964

Greatest Common Factor of Numerators i.e. GCF of 2228,6964 is 4 .

LCM of Denominators means LCM of 12,931 as per the given fractions.

LCM of 12,931 is 11172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2228,6964

GCF of Fractions 2228/12,6964/931 is 4/11172

2 2228, 6964
2 1114, 3482
557, 1741

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2228,6964 By Matching Biggest Common Factor Method

Greatest Common Factor of 2228,6964 By Matching Biggest Common Factor Method

Factors of 2228

List of positive integer factors of 2228 that divides 2228 without a remainder.

1,2,4,557,1114,2228

Factors of 6964

List of positive integer factors of 6964 that divides 6964 without a remainder.

1,2,4,1741,3482,6964

Greatest Common Factor

We found the factors 2228,6964 . The biggest common factor number is the GCF number.
So the greatest common factor 2228,6964 is 4.

Lets's calculate LCM of 12,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 11172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11172

Therefore, the GCF of Fractions 2228/12,6964/931 is 4/11172

Least Common Multiple of 12,931 with GCF Formula

Least Common Multiple of 12,931 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 12,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,931) = 1

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

GCF(12,931) x common factors =1 x 1 = 1

LCM(12,931) = ( 12 × 931 ) / 1

LCM(12,931) = 11172 / 1

LCM(12,931) = 11172


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 2228/12, 6964/931

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 2228/12, 6964/931?

Answer: GCF of Numerators as per given numbers 2228/12, 6964/931 is

GCF of Numerators i.e. for 2228,6964 is 4

LCM of denominators i.e. for 12,931 is 11172.

Thus, GCF of Fractions is 4/11172.Finally, GCF of Fractions for 2228/12, 6964/931 is 4/11172.