Greatest Common Factor of 8107/85, 7149/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8107/85, 7149/770

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 8107/85,7149/770

Given fractions are 8107/85,7149/770

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 8107,7149

Greatest Common Factor of Numerators i.e. GCF of 8107,7149 is 1 .

LCM of Denominators means LCM of 85,770 as per the given fractions.

LCM of 85,770 is 13090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8107,7149

GCF of Fractions 8107/85,7149/770 is 1/13090

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

Greatest Common Factor of 8107,7149 By Matching Biggest Common Factor Method

Greatest Common Factor of 8107,7149 By Matching Biggest Common Factor Method

Factors of 8107

List of positive integer factors of 8107 that divides 8107 without a remainder.

1,11,67,121,737,8107

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1,3,2383,7149

Greatest Common Factor

We found the factors 8107,7149 . The biggest common factor number is the GCF number.
So the greatest common factor 8107,7149 is 1.

Lets's calculate LCM of 85,770

5 85, 770
17, 154

∴ So the LCM of the given numbers is 5 x 17 x 154 = 13090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13090

Therefore, the GCF of Fractions 8107/85,7149/770 is 1/13090

Least Common Multiple of 85,770 with GCF Formula

Least Common Multiple of 85,770 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 85,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,770) = 5

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

GCF(85,770) x common factors =5 x 1 = 5

LCM(85,770) = ( 85 × 770 ) / 5

LCM(85,770) = 65450 / 5

LCM(85,770) = 13090


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 8107/85, 7149/770

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 8107/85, 7149/770?

Answer: GCF of Numerators as per given numbers 8107/85, 7149/770 is

GCF of Numerators i.e. for 8107,7149 is 1

LCM of denominators i.e. for 85,770 is 13090.

Thus, GCF of Fractions is 1/13090.Finally, GCF of Fractions for 8107/85, 7149/770 is 1/13090.