Greatest Common Factor of 6379/77, 8322/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6379/77, 8322/625

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 6379/77,8322/625

Given fractions are 6379/77,8322/625

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 6379,8322

Greatest Common Factor of Numerators i.e. GCF of 6379,8322 is 1 .

LCM of Denominators means LCM of 77,625 as per the given fractions.

LCM of 77,625 is 48125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6379,8322

GCF of Fractions 6379/77,8322/625 is 1/48125

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

Greatest Common Factor of 6379,8322 By Matching Biggest Common Factor Method

Greatest Common Factor of 6379,8322 By Matching Biggest Common Factor Method

Factors of 6379

List of positive integer factors of 6379 that divides 6379 without a remainder.

1,6379

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Greatest Common Factor

We found the factors 6379,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 6379,8322 is 1.

Lets's calculate LCM of 77,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 48125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48125

Therefore, the GCF of Fractions 6379/77,8322/625 is 1/48125

Least Common Multiple of 77,625 with GCF Formula

Least Common Multiple of 77,625 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 77,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,625) = 1

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

GCF(77,625) x common factors =1 x 1 = 1

LCM(77,625) = ( 77 × 625 ) / 1

LCM(77,625) = 48125 / 1

LCM(77,625) = 48125


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 6379/77, 8322/625

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 6379/77, 8322/625?

Answer: GCF of Numerators as per given numbers 6379/77, 8322/625 is

GCF of Numerators i.e. for 6379,8322 is 1

LCM of denominators i.e. for 77,625 is 48125.

Thus, GCF of Fractions is 1/48125.Finally, GCF of Fractions for 6379/77, 8322/625 is 1/48125.