Greatest Common Factor of 9620/138, 9086/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9620/138, 9086/202

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 9620/138,9086/202

Given fractions are 9620/138,9086/202

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 9620,9086

Greatest Common Factor of Numerators i.e. GCF of 9620,9086 is 2 .

LCM of Denominators means LCM of 138,202 as per the given fractions.

LCM of 138,202 is 13938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9620,9086

GCF of Fractions 9620/138,9086/202 is 2/13938

2 9620, 9086
4810, 4543

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9620,9086 By Matching Biggest Common Factor Method

Greatest Common Factor of 9620,9086 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 9086

List of positive integer factors of 9086 that divides 9086 without a remainder.

1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086

Greatest Common Factor

We found the factors 9620,9086 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,9086 is 2.

Lets's calculate LCM of 138,202

2 138, 202
69, 101

∴ So the LCM of the given numbers is 2 x 69 x 101 = 13938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13938

Therefore, the GCF of Fractions 9620/138,9086/202 is 2/13938

Least Common Multiple of 138,202 with GCF Formula

Least Common Multiple of 138,202 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 138,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,202) = 2

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

GCF(138,202) x common factors =2 x 1 = 2

LCM(138,202) = ( 138 × 202 ) / 2

LCM(138,202) = 27876 / 2

LCM(138,202) = 13938


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 9620/138, 9086/202

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 9620/138, 9086/202?

Answer: GCF of Numerators as per given numbers 9620/138, 9086/202 is

GCF of Numerators i.e. for 9620,9086 is 2

LCM of denominators i.e. for 138,202 is 13938.

Thus, GCF of Fractions is 2/13938.Finally, GCF of Fractions for 9620/138, 9086/202 is 2/13938.