Greatest Common Factor of 9620/153, 2522/3629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9620/153, 2522/3629

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 9620/153,2522/3629

Given fractions are 9620/153,2522/3629

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 9620,2522

Greatest Common Factor of Numerators i.e. GCF of 9620,2522 is 26 .

LCM of Denominators means LCM of 153,3629 as per the given fractions.

LCM of 153,3629 is 555237 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9620,2522

GCF of Fractions 9620/153,2522/3629 is 26/555237

2 9620, 2522
13 4810, 1261
370, 97

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 9620,2522 By Matching Biggest Common Factor Method

Greatest Common Factor of 9620,2522 By Matching Biggest Common Factor Method

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Factors of 2522

List of positive integer factors of 2522 that divides 2522 without a remainder.

1,2,13,26,97,194,1261,2522

Greatest Common Factor

We found the factors 9620,2522 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,2522 is 26.

Lets's calculate LCM of 153,3629

Given numbers has no common factors except 1. So, there LCM is their product i.e 555237

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/555237

Therefore, the GCF of Fractions 9620/153,2522/3629 is 26/555237

Least Common Multiple of 153,3629 with GCF Formula

Least Common Multiple of 153,3629 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 153,3629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,3629) = 1

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

GCF(153,3629) x common factors =1 x 1 = 1

LCM(153,3629) = ( 153 × 3629 ) / 1

LCM(153,3629) = 555237 / 1

LCM(153,3629) = 555237


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 9620/153, 2522/3629

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 9620/153, 2522/3629?

Answer: GCF of Numerators as per given numbers 9620/153, 2522/3629 is

GCF of Numerators i.e. for 9620,2522 is 26

LCM of denominators i.e. for 153,3629 is 555237.

Thus, GCF of Fractions is 26/555237.Finally, GCF of Fractions for 9620/153, 2522/3629 is 26/555237.