Greatest Common Factor of 6907/944, 4268/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6907/944, 4268/432

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 6907/944,4268/432

Given fractions are 6907/944,4268/432

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 6907,4268

Greatest Common Factor of Numerators i.e. GCF of 6907,4268 is 1 .

LCM of Denominators means LCM of 944,432 as per the given fractions.

LCM of 944,432 is 25488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6907,4268

GCF of Fractions 6907/944,4268/432 is 1/25488

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6907,4268 By Matching Biggest Common Factor Method

Greatest Common Factor of 6907,4268 By Matching Biggest Common Factor Method

Factors of 6907

List of positive integer factors of 6907 that divides 6907 without a remainder.

1,6907

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1,2,4,11,22,44,97,194,388,1067,2134,4268

Greatest Common Factor

We found the factors 6907,4268 . The biggest common factor number is the GCF number.
So the greatest common factor 6907,4268 is 1.

Lets's calculate LCM of 944,432

2 944, 432
2 472, 216
2 236, 108
2 118, 54
59, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 59 x 27 = 25488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25488

Therefore, the GCF of Fractions 6907/944,4268/432 is 1/25488

Least Common Multiple of 944,432 with GCF Formula

Least Common Multiple of 944,432 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 944,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,432) = 16

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

GCF(944,432) x common factors =16 x 1 = 16

LCM(944,432) = ( 944 × 432 ) / 16

LCM(944,432) = 407808 / 16

LCM(944,432) = 25488


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 6907/944, 4268/432

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 6907/944, 4268/432?

Answer: GCF of Numerators as per given numbers 6907/944, 4268/432 is

GCF of Numerators i.e. for 6907,4268 is 1

LCM of denominators i.e. for 944,432 is 25488.

Thus, GCF of Fractions is 1/25488.Finally, GCF of Fractions for 6907/944, 4268/432 is 1/25488.