Greatest Common Factor of 6909/890, 9024/5660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6909/890, 9024/5660

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 6909/890,9024/5660

Given fractions are 6909/890,9024/5660

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 6909,9024

Greatest Common Factor of Numerators i.e. GCF of 6909,9024 is 141 .

LCM of Denominators means LCM of 890,5660 as per the given fractions.

LCM of 890,5660 is 503740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6909,9024

GCF of Fractions 6909/890,9024/5660 is 141/503740

3 6909, 9024
47 2303, 3008
49, 64

∴ So the GCF of the given numbers is 3 x 47 = 141

Greatest Common Factor of 6909,9024 By Matching Biggest Common Factor Method

Greatest Common Factor of 6909,9024 By Matching Biggest Common Factor Method

Factors of 6909

List of positive integer factors of 6909 that divides 6909 without a remainder.

1,3,7,21,47,49,141,147,329,987,2303,6909

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Greatest Common Factor

We found the factors 6909,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 6909,9024 is 141.

Lets's calculate LCM of 890,5660

2 890, 5660
5 445, 2830
89, 566

∴ So the LCM of the given numbers is 2 x 5 x 89 x 566 = 503740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 141/503740

Therefore, the GCF of Fractions 6909/890,9024/5660 is 141/503740

Least Common Multiple of 890,5660 with GCF Formula

Least Common Multiple of 890,5660 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 890,5660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,5660) = 10

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

GCF(890,5660) x common factors =10 x 1 = 10

LCM(890,5660) = ( 890 × 5660 ) / 10

LCM(890,5660) = 5037400 / 10

LCM(890,5660) = 503740


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 6909/890, 9024/5660

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 6909/890, 9024/5660?

Answer: GCF of Numerators as per given numbers 6909/890, 9024/5660 is

GCF of Numerators i.e. for 6909,9024 is 141

LCM of denominators i.e. for 890,5660 is 503740.

Thus, GCF of Fractions is 141/503740.Finally, GCF of Fractions for 6909/890, 9024/5660 is 141/503740.