Greatest Common Factor of 77/829, 131/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/829, 131/407

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 77/829,131/407

Given fractions are 77/829,131/407

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 77,131

Greatest Common Factor of Numerators i.e. GCF of 77,131 is 1 .

LCM of Denominators means LCM of 829,407 as per the given fractions.

LCM of 829,407 is 337403 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,131

GCF of Fractions 77/829,131/407 is 1/337403

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

Greatest Common Factor of 77,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,131 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 77,131 . The biggest common factor number is the GCF number.
So the greatest common factor 77,131 is 1.

Lets's calculate LCM of 829,407

Given numbers has no common factors except 1. So, there LCM is their product i.e 337403

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337403

Therefore, the GCF of Fractions 77/829,131/407 is 1/337403

Least Common Multiple of 829,407 with GCF Formula

Least Common Multiple of 829,407 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 829,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,407) = 1

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

GCF(829,407) x common factors =1 x 1 = 1

LCM(829,407) = ( 829 × 407 ) / 1

LCM(829,407) = 337403 / 1

LCM(829,407) = 337403


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 77/829, 131/407

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 77/829, 131/407?

Answer: GCF of Numerators as per given numbers 77/829, 131/407 is

GCF of Numerators i.e. for 77,131 is 1

LCM of denominators i.e. for 829,407 is 337403.

Thus, GCF of Fractions is 1/337403.Finally, GCF of Fractions for 77/829, 131/407 is 1/337403.