Greatest Common Factor of 8696/877, 2291/8905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8696/877, 2291/8905

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 8696/877,2291/8905

Given fractions are 8696/877,2291/8905

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 8696,2291

Greatest Common Factor of Numerators i.e. GCF of 8696,2291 is 1 .

LCM of Denominators means LCM of 877,8905 as per the given fractions.

LCM of 877,8905 is 7809685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8696,2291

GCF of Fractions 8696/877,2291/8905 is 1/7809685

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

Greatest Common Factor of 8696,2291 By Matching Biggest Common Factor Method

Greatest Common Factor of 8696,2291 By Matching Biggest Common Factor Method

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1,2,4,8,1087,2174,4348,8696

Factors of 2291

List of positive integer factors of 2291 that divides 2291 without a remainder.

1,29,79,2291

Greatest Common Factor

We found the factors 8696,2291 . The biggest common factor number is the GCF number.
So the greatest common factor 8696,2291 is 1.


Lets's calculate LCM of 877,8905

Given numbers has no common factors except 1. So, there LCM is their product i.e 7809685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7809685

Therefore, the GCF of Fractions 8696/877,2291/8905 is 1/7809685

Least Common Multiple of 877,8905 with GCF Formula

Least Common Multiple of 877,8905 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 877,8905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,8905) = 1

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

GCF(877,8905) x common factors =1 x 1 = 1

LCM(877,8905) = ( 877 × 8905 ) / 1

LCM(877,8905) = 7809685 / 1

LCM(877,8905) = 7809685


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8696/877, 2291/8905

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 8696/877, 2291/8905?

Answer: GCF of Numerators as per given numbers 8696/877, 2291/8905 is

GCF of Numerators i.e. for 8696,2291 is 1

LCM of denominators i.e. for 877,8905 is 7809685.

Thus, GCF of Fractions is 1/7809685.Finally, GCF of Fractions for 8696/877, 2291/8905 is 1/7809685.