Greatest Common Factor of 6714/51, 7703/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6714/51, 7703/427

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 6714/51,7703/427

Given fractions are 6714/51,7703/427

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 6714,7703

Greatest Common Factor of Numerators i.e. GCF of 6714,7703 is 1 .

LCM of Denominators means LCM of 51,427 as per the given fractions.

LCM of 51,427 is 21777 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6714,7703

GCF of Fractions 6714/51,7703/427 is 1/21777

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

Greatest Common Factor of 6714,7703 By Matching Biggest Common Factor Method

Greatest Common Factor of 6714,7703 By Matching Biggest Common Factor Method

Factors of 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1,2,3,6,9,18,373,746,1119,2238,3357,6714

Factors of 7703

List of positive integer factors of 7703 that divides 7703 without a remainder.

1,7703

Greatest Common Factor

We found the factors 6714,7703 . The biggest common factor number is the GCF number.
So the greatest common factor 6714,7703 is 1.

Lets's calculate LCM of 51,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 21777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21777

Therefore, the GCF of Fractions 6714/51,7703/427 is 1/21777

Least Common Multiple of 51,427 with GCF Formula

Least Common Multiple of 51,427 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 51,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,427) = 1

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

GCF(51,427) x common factors =1 x 1 = 1

LCM(51,427) = ( 51 × 427 ) / 1

LCM(51,427) = 21777 / 1

LCM(51,427) = 21777


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 6714/51, 7703/427

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 6714/51, 7703/427?

Answer: GCF of Numerators as per given numbers 6714/51, 7703/427 is

GCF of Numerators i.e. for 6714,7703 is 1

LCM of denominators i.e. for 51,427 is 21777.

Thus, GCF of Fractions is 1/21777.Finally, GCF of Fractions for 6714/51, 7703/427 is 1/21777.