Greatest Common Factor of 8291/771, 8948/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8291/771, 8948/695

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 8291/771,8948/695

Given fractions are 8291/771,8948/695

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 8291,8948

Greatest Common Factor of Numerators i.e. GCF of 8291,8948 is 1 .

LCM of Denominators means LCM of 771,695 as per the given fractions.

LCM of 771,695 is 535845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8291,8948

GCF of Fractions 8291/771,8948/695 is 1/535845

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

Greatest Common Factor of 8291,8948 By Matching Biggest Common Factor Method

Greatest Common Factor of 8291,8948 By Matching Biggest Common Factor Method

Factors of 8291

List of positive integer factors of 8291 that divides 8291 without a remainder.

1,8291

Factors of 8948

List of positive integer factors of 8948 that divides 8948 without a remainder.

1,2,4,2237,4474,8948

Greatest Common Factor

We found the factors 8291,8948 . The biggest common factor number is the GCF number.
So the greatest common factor 8291,8948 is 1.

Lets's calculate LCM of 771,695

Given numbers has no common factors except 1. So, there LCM is their product i.e 535845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/535845

Therefore, the GCF of Fractions 8291/771,8948/695 is 1/535845

Least Common Multiple of 771,695 with GCF Formula

Least Common Multiple of 771,695 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 771,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,695) = 1

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

GCF(771,695) x common factors =1 x 1 = 1

LCM(771,695) = ( 771 × 695 ) / 1

LCM(771,695) = 535845 / 1

LCM(771,695) = 535845


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 8291/771, 8948/695

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 8291/771, 8948/695?

Answer: GCF of Numerators as per given numbers 8291/771, 8948/695 is

GCF of Numerators i.e. for 8291,8948 is 1

LCM of denominators i.e. for 771,695 is 535845.

Thus, GCF of Fractions is 1/535845.Finally, GCF of Fractions for 8291/771, 8948/695 is 1/535845.