Greatest Common Factor of 8622/851, 9565/2188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8622/851, 9565/2188

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 8622/851,9565/2188

Given fractions are 8622/851,9565/2188

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 8622,9565

Greatest Common Factor of Numerators i.e. GCF of 8622,9565 is 1 .

LCM of Denominators means LCM of 851,2188 as per the given fractions.

LCM of 851,2188 is 1861988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8622,9565

GCF of Fractions 8622/851,9565/2188 is 1/1861988

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

Greatest Common Factor of 8622,9565 By Matching Biggest Common Factor Method

Greatest Common Factor of 8622,9565 By Matching Biggest Common Factor Method

Factors of 8622

List of positive integer factors of 8622 that divides 8622 without a remainder.

1,2,3,6,9,18,479,958,1437,2874,4311,8622

Factors of 9565

List of positive integer factors of 9565 that divides 9565 without a remainder.

1,5,1913,9565

Greatest Common Factor

We found the factors 8622,9565 . The biggest common factor number is the GCF number.
So the greatest common factor 8622,9565 is 1.


Lets's calculate LCM of 851,2188

Given numbers has no common factors except 1. So, there LCM is their product i.e 1861988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1861988

Therefore, the GCF of Fractions 8622/851,9565/2188 is 1/1861988

Least Common Multiple of 851,2188 with GCF Formula

Least Common Multiple of 851,2188 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 851,2188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,2188) = 1

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

GCF(851,2188) x common factors =1 x 1 = 1

LCM(851,2188) = ( 851 × 2188 ) / 1

LCM(851,2188) = 1861988 / 1

LCM(851,2188) = 1861988


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 8622/851, 9565/2188

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 8622/851, 9565/2188?

Answer: GCF of Numerators as per given numbers 8622/851, 9565/2188 is

GCF of Numerators i.e. for 8622,9565 is 1

LCM of denominators i.e. for 851,2188 is 1861988.

Thus, GCF of Fractions is 1/1861988.Finally, GCF of Fractions for 8622/851, 9565/2188 is 1/1861988.