Greatest Common Factor of 5688/746, 9377/6797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5688/746, 9377/6797

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 5688/746,9377/6797

Given fractions are 5688/746,9377/6797

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 5688,9377

Greatest Common Factor of Numerators i.e. GCF of 5688,9377 is 1 .

LCM of Denominators means LCM of 746,6797 as per the given fractions.

LCM of 746,6797 is 5070562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5688,9377

GCF of Fractions 5688/746,9377/6797 is 1/5070562

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

Greatest Common Factor of 5688,9377 By Matching Biggest Common Factor Method

Greatest Common Factor of 5688,9377 By Matching Biggest Common Factor Method

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Factors of 9377

List of positive integer factors of 9377 that divides 9377 without a remainder.

1,9377

Greatest Common Factor

We found the factors 5688,9377 . The biggest common factor number is the GCF number.
So the greatest common factor 5688,9377 is 1.

Lets's calculate LCM of 746,6797

Given numbers has no common factors except 1. So, there LCM is their product i.e 5070562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5070562

Therefore, the GCF of Fractions 5688/746,9377/6797 is 1/5070562

Least Common Multiple of 746,6797 with GCF Formula

Least Common Multiple of 746,6797 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 746,6797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,6797) = 1

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

GCF(746,6797) x common factors =1 x 1 = 1

LCM(746,6797) = ( 746 × 6797 ) / 1

LCM(746,6797) = 5070562 / 1

LCM(746,6797) = 5070562


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 5688/746, 9377/6797

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 5688/746, 9377/6797?

Answer: GCF of Numerators as per given numbers 5688/746, 9377/6797 is

GCF of Numerators i.e. for 5688,9377 is 1

LCM of denominators i.e. for 746,6797 is 5070562.

Thus, GCF of Fractions is 1/5070562.Finally, GCF of Fractions for 5688/746, 9377/6797 is 1/5070562.