Greatest Common Factor of 6914/892, 7349/7317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6914/892, 7349/7317

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 6914/892,7349/7317

Given fractions are 6914/892,7349/7317

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 6914,7349

Greatest Common Factor of Numerators i.e. GCF of 6914,7349 is 1 .

LCM of Denominators means LCM of 892,7317 as per the given fractions.

LCM of 892,7317 is 6526764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6914,7349

GCF of Fractions 6914/892,7349/7317 is 1/6526764

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

Greatest Common Factor of 6914,7349 By Matching Biggest Common Factor Method

Greatest Common Factor of 6914,7349 By Matching Biggest Common Factor Method

Factors of 6914

List of positive integer factors of 6914 that divides 6914 without a remainder.

1,2,3457,6914

Factors of 7349

List of positive integer factors of 7349 that divides 7349 without a remainder.

1,7349

Greatest Common Factor

We found the factors 6914,7349 . The biggest common factor number is the GCF number.
So the greatest common factor 6914,7349 is 1.

Lets's calculate LCM of 892,7317

Given numbers has no common factors except 1. So, there LCM is their product i.e 6526764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6526764

Therefore, the GCF of Fractions 6914/892,7349/7317 is 1/6526764

Least Common Multiple of 892,7317 with GCF Formula

Least Common Multiple of 892,7317 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 892,7317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,7317) = 1

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

GCF(892,7317) x common factors =1 x 1 = 1

LCM(892,7317) = ( 892 × 7317 ) / 1

LCM(892,7317) = 6526764 / 1

LCM(892,7317) = 6526764


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 6914/892, 7349/7317

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 6914/892, 7349/7317?

Answer: GCF of Numerators as per given numbers 6914/892, 7349/7317 is

GCF of Numerators i.e. for 6914,7349 is 1

LCM of denominators i.e. for 892,7317 is 6526764.

Thus, GCF of Fractions is 1/6526764.Finally, GCF of Fractions for 6914/892, 7349/7317 is 1/6526764.