Greatest Common Factor of 767/844, 977/294, 680/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/844, 977/294, 680/784

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 767/844,977/294,680/784

Given fractions are 767/844,977/294,680/784

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 767,977,680

Greatest Common Factor of Numerators i.e. GCF of 767,977,680 is 1 .

LCM of Denominators means LCM of 844,294,784 as per the given fractions.

LCM of 844,294,784 is 496272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,977,680

GCF of Fractions 767/844,977/294,680/784 is 1/496272

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

Greatest Common Factor of 767,977,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,977,680 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 767,977,680 . The biggest common factor number is the GCF number.
So the greatest common factor 767,977,680 is 1.

Lets's calculate LCM of 844,294,784

2 844, 294, 784
2 422, 147, 392
7 211, 147, 196
7 211, 21, 28
211, 3, 4

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 211 x 3 x 4 = 496272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496272

Therefore, the GCF of Fractions 767/844,977/294,680/784 is 1/496272

Least Common Multiple of 844,294,784 with GCF Formula

Least Common Multiple of 844,294,784 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 844,294,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,294,784) = 2

common factors(in case of two or more numbers have common factors) = 196

GCF(844,294,784) x common factors =2 x 196 = 392

LCM(844,294,784) = ( 844 × 294 × 784 ) / 392

LCM(844,294,784) = 194538624 / 392

LCM(844,294,784) = 496272


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 767/844, 977/294, 680/784

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 767/844, 977/294, 680/784?

Answer: GCF of Numerators as per given numbers 767/844, 977/294, 680/784 is

GCF of Numerators i.e. for 767,977,680 is 1

LCM of denominators i.e. for 844,294,784 is 496272.

Thus, GCF of Fractions is 1/496272.Finally, GCF of Fractions for 767/844, 977/294, 680/784 is 1/496272.