Greatest Common Factor of 7961/515, 8295/6800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7961/515, 8295/6800

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 7961/515,8295/6800

Given fractions are 7961/515,8295/6800

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 7961,8295

Greatest Common Factor of Numerators i.e. GCF of 7961,8295 is 1 .

LCM of Denominators means LCM of 515,6800 as per the given fractions.

LCM of 515,6800 is 700400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7961,8295

GCF of Fractions 7961/515,8295/6800 is 1/700400

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

Greatest Common Factor of 7961,8295 By Matching Biggest Common Factor Method

Greatest Common Factor of 7961,8295 By Matching Biggest Common Factor Method

Factors of 7961

List of positive integer factors of 7961 that divides 7961 without a remainder.

1,19,419,7961

Factors of 8295

List of positive integer factors of 8295 that divides 8295 without a remainder.

1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295

Greatest Common Factor

We found the factors 7961,8295 . The biggest common factor number is the GCF number.
So the greatest common factor 7961,8295 is 1.

Lets's calculate LCM of 515,6800

5 515, 6800
103, 1360

∴ So the LCM of the given numbers is 5 x 103 x 1360 = 700400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700400

Therefore, the GCF of Fractions 7961/515,8295/6800 is 1/700400

Least Common Multiple of 515,6800 with GCF Formula

Least Common Multiple of 515,6800 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 515,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,6800) = 5

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

GCF(515,6800) x common factors =5 x 1 = 5

LCM(515,6800) = ( 515 × 6800 ) / 5

LCM(515,6800) = 3502000 / 5

LCM(515,6800) = 700400


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 7961/515, 8295/6800

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 7961/515, 8295/6800?

Answer: GCF of Numerators as per given numbers 7961/515, 8295/6800 is

GCF of Numerators i.e. for 7961,8295 is 1

LCM of denominators i.e. for 515,6800 is 700400.

Thus, GCF of Fractions is 1/700400.Finally, GCF of Fractions for 7961/515, 8295/6800 is 1/700400.