Greatest Common Factor of 9241/885, 7762/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9241/885, 7762/590

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 9241/885,7762/590

Given fractions are 9241/885,7762/590

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 9241,7762

Greatest Common Factor of Numerators i.e. GCF of 9241,7762 is 1 .

LCM of Denominators means LCM of 885,590 as per the given fractions.

LCM of 885,590 is 1770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9241,7762

GCF of Fractions 9241/885,7762/590 is 1/1770

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

Greatest Common Factor of 9241,7762 By Matching Biggest Common Factor Method

Greatest Common Factor of 9241,7762 By Matching Biggest Common Factor Method

Factors of 9241

List of positive integer factors of 9241 that divides 9241 without a remainder.

1,9241

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1,2,3881,7762

Greatest Common Factor

We found the factors 9241,7762 . The biggest common factor number is the GCF number.
So the greatest common factor 9241,7762 is 1.

Lets's calculate LCM of 885,590

5 885, 590
59 177, 118
3, 2

∴ So the LCM of the given numbers is 5 x 59 x 3 x 2 = 1770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1770

Therefore, the GCF of Fractions 9241/885,7762/590 is 1/1770

Least Common Multiple of 885,590 with GCF Formula

Least Common Multiple of 885,590 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 885,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,590) = 295

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

GCF(885,590) x common factors =295 x 1 = 295

LCM(885,590) = ( 885 × 590 ) / 295

LCM(885,590) = 522150 / 295

LCM(885,590) = 1770


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 9241/885, 7762/590

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 9241/885, 7762/590?

Answer: GCF of Numerators as per given numbers 9241/885, 7762/590 is

GCF of Numerators i.e. for 9241,7762 is 1

LCM of denominators i.e. for 885,590 is 1770.

Thus, GCF of Fractions is 1/1770.Finally, GCF of Fractions for 9241/885, 7762/590 is 1/1770.