Greatest Common Factor of 7240/392, 9122/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7240/392, 9122/989

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 7240/392,9122/989

Given fractions are 7240/392,9122/989

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 7240,9122

Greatest Common Factor of Numerators i.e. GCF of 7240,9122 is 2 .

LCM of Denominators means LCM of 392,989 as per the given fractions.

LCM of 392,989 is 387688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7240,9122

GCF of Fractions 7240/392,9122/989 is 2/387688

2 7240, 9122
3620, 4561

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

Greatest Common Factor of 7240,9122 By Matching Biggest Common Factor Method

Greatest Common Factor of 7240,9122 By Matching Biggest Common Factor Method

Factors of 7240

List of positive integer factors of 7240 that divides 7240 without a remainder.

1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240

Factors of 9122

List of positive integer factors of 9122 that divides 9122 without a remainder.

1,2,4561,9122

Greatest Common Factor

We found the factors 7240,9122 . The biggest common factor number is the GCF number.
So the greatest common factor 7240,9122 is 2.

Lets's calculate LCM of 392,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 387688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387688

Therefore, the GCF of Fractions 7240/392,9122/989 is 2/387688

Least Common Multiple of 392,989 with GCF Formula

Least Common Multiple of 392,989 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 392,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,989) = 1

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

GCF(392,989) x common factors =1 x 1 = 1

LCM(392,989) = ( 392 × 989 ) / 1

LCM(392,989) = 387688 / 1

LCM(392,989) = 387688


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 7240/392, 9122/989

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 7240/392, 9122/989?

Answer: GCF of Numerators as per given numbers 7240/392, 9122/989 is

GCF of Numerators i.e. for 7240,9122 is 2

LCM of denominators i.e. for 392,989 is 387688.

Thus, GCF of Fractions is 2/387688.Finally, GCF of Fractions for 7240/392, 9122/989 is 2/387688.