Greatest Common Factor of 777/52, 6857/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/52, 6857/101

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 777/52,6857/101

Given fractions are 777/52,6857/101

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 777,6857

Greatest Common Factor of Numerators i.e. GCF of 777,6857 is 1 .

LCM of Denominators means LCM of 52,101 as per the given fractions.

LCM of 52,101 is 5252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,6857

GCF of Fractions 777/52,6857/101 is 1/5252

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

Greatest Common Factor of 777,6857 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,6857 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 6857

List of positive integer factors of 6857 that divides 6857 without a remainder.

1,6857

Greatest Common Factor

We found the factors 777,6857 . The biggest common factor number is the GCF number.
So the greatest common factor 777,6857 is 1.

Lets's calculate LCM of 52,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 5252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5252

Therefore, the GCF of Fractions 777/52,6857/101 is 1/5252

Least Common Multiple of 52,101 with GCF Formula

Least Common Multiple of 52,101 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 52,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,101) = 1

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

GCF(52,101) x common factors =1 x 1 = 1

LCM(52,101) = ( 52 × 101 ) / 1

LCM(52,101) = 5252 / 1

LCM(52,101) = 5252


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 777/52, 6857/101

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 777/52, 6857/101?

Answer: GCF of Numerators as per given numbers 777/52, 6857/101 is

GCF of Numerators i.e. for 777,6857 is 1

LCM of denominators i.e. for 52,101 is 5252.

Thus, GCF of Fractions is 1/5252.Finally, GCF of Fractions for 777/52, 6857/101 is 1/5252.