Greatest Common Factor of 7977/641, 6703/3861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7977/641, 6703/3861

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 7977/641,6703/3861

Given fractions are 7977/641,6703/3861

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 7977,6703

Greatest Common Factor of Numerators i.e. GCF of 7977,6703 is 1 .

LCM of Denominators means LCM of 641,3861 as per the given fractions.

LCM of 641,3861 is 2474901 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7977,6703

GCF of Fractions 7977/641,6703/3861 is 1/2474901

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

Greatest Common Factor of 7977,6703 By Matching Biggest Common Factor Method

Greatest Common Factor of 7977,6703 By Matching Biggest Common Factor Method

Factors of 7977

List of positive integer factors of 7977 that divides 7977 without a remainder.

1,3,2659,7977

Factors of 6703

List of positive integer factors of 6703 that divides 6703 without a remainder.

1,6703

Greatest Common Factor

We found the factors 7977,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 7977,6703 is 1.


Lets's calculate LCM of 641,3861

Given numbers has no common factors except 1. So, there LCM is their product i.e 2474901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2474901

Therefore, the GCF of Fractions 7977/641,6703/3861 is 1/2474901

Least Common Multiple of 641,3861 with GCF Formula

Least Common Multiple of 641,3861 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 641,3861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,3861) = 1

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

GCF(641,3861) x common factors =1 x 1 = 1

LCM(641,3861) = ( 641 × 3861 ) / 1

LCM(641,3861) = 2474901 / 1

LCM(641,3861) = 2474901


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7977/641, 6703/3861

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 7977/641, 6703/3861?

Answer: GCF of Numerators as per given numbers 7977/641, 6703/3861 is

GCF of Numerators i.e. for 7977,6703 is 1

LCM of denominators i.e. for 641,3861 is 2474901.

Thus, GCF of Fractions is 1/2474901.Finally, GCF of Fractions for 7977/641, 6703/3861 is 1/2474901.