Greatest Common Factor of 5979/85, 8099/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5979/85, 8099/755

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 5979/85,8099/755

Given fractions are 5979/85,8099/755

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 5979,8099

Greatest Common Factor of Numerators i.e. GCF of 5979,8099 is 1 .

LCM of Denominators means LCM of 85,755 as per the given fractions.

LCM of 85,755 is 12835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5979,8099

GCF of Fractions 5979/85,8099/755 is 1/12835

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

Greatest Common Factor of 5979,8099 By Matching Biggest Common Factor Method

Greatest Common Factor of 5979,8099 By Matching Biggest Common Factor Method

Factors of 5979

List of positive integer factors of 5979 that divides 5979 without a remainder.

1,3,1993,5979

Factors of 8099

List of positive integer factors of 8099 that divides 8099 without a remainder.

1,7,13,89,91,623,1157,8099

Greatest Common Factor

We found the factors 5979,8099 . The biggest common factor number is the GCF number.
So the greatest common factor 5979,8099 is 1.

Lets's calculate LCM of 85,755

5 85, 755
17, 151

∴ So the LCM of the given numbers is 5 x 17 x 151 = 12835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12835

Therefore, the GCF of Fractions 5979/85,8099/755 is 1/12835

Least Common Multiple of 85,755 with GCF Formula

Least Common Multiple of 85,755 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 85,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,755) = 5

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

GCF(85,755) x common factors =5 x 1 = 5

LCM(85,755) = ( 85 × 755 ) / 5

LCM(85,755) = 64175 / 5

LCM(85,755) = 12835


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 5979/85, 8099/755

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 5979/85, 8099/755?

Answer: GCF of Numerators as per given numbers 5979/85, 8099/755 is

GCF of Numerators i.e. for 5979,8099 is 1

LCM of denominators i.e. for 85,755 is 12835.

Thus, GCF of Fractions is 1/12835.Finally, GCF of Fractions for 5979/85, 8099/755 is 1/12835.