Greatest Common Factor of 9119/576, 2342/7140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9119/576, 2342/7140

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 9119/576,2342/7140

Given fractions are 9119/576,2342/7140

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 9119,2342

Greatest Common Factor of Numerators i.e. GCF of 9119,2342 is 1 .

LCM of Denominators means LCM of 576,7140 as per the given fractions.

LCM of 576,7140 is 342720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9119,2342

GCF of Fractions 9119/576,2342/7140 is 1/342720

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

Greatest Common Factor of 9119,2342 By Matching Biggest Common Factor Method

Greatest Common Factor of 9119,2342 By Matching Biggest Common Factor Method

Factors of 9119

List of positive integer factors of 9119 that divides 9119 without a remainder.

1,11,829,9119

Factors of 2342

List of positive integer factors of 2342 that divides 2342 without a remainder.

1,2,1171,2342

Greatest Common Factor

We found the factors 9119,2342 . The biggest common factor number is the GCF number.
So the greatest common factor 9119,2342 is 1.

Lets's calculate LCM of 576,7140

2 576, 7140
2 288, 3570
3 144, 1785
48, 595

∴ So the LCM of the given numbers is 2 x 2 x 3 x 48 x 595 = 342720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342720

Therefore, the GCF of Fractions 9119/576,2342/7140 is 1/342720

Least Common Multiple of 576,7140 with GCF Formula

Least Common Multiple of 576,7140 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 576,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,7140) = 12

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

GCF(576,7140) x common factors =12 x 1 = 12

LCM(576,7140) = ( 576 × 7140 ) / 12

LCM(576,7140) = 4112640 / 12

LCM(576,7140) = 342720


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 9119/576, 2342/7140

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 9119/576, 2342/7140?

Answer: GCF of Numerators as per given numbers 9119/576, 2342/7140 is

GCF of Numerators i.e. for 9119,2342 is 1

LCM of denominators i.e. for 576,7140 is 342720.

Thus, GCF of Fractions is 1/342720.Finally, GCF of Fractions for 9119/576, 2342/7140 is 1/342720.