Greatest Common Factor of 8921/31, 4612/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8921/31, 4612/930

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 8921/31,4612/930

Given fractions are 8921/31,4612/930

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 8921,4612

Greatest Common Factor of Numerators i.e. GCF of 8921,4612 is 1 .

LCM of Denominators means LCM of 31,930 as per the given fractions.

LCM of 31,930 is 930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8921,4612

GCF of Fractions 8921/31,4612/930 is 1/930

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

Greatest Common Factor of 8921,4612 By Matching Biggest Common Factor Method

Greatest Common Factor of 8921,4612 By Matching Biggest Common Factor Method

Factors of 8921

List of positive integer factors of 8921 that divides 8921 without a remainder.

1,11,811,8921

Factors of 4612

List of positive integer factors of 4612 that divides 4612 without a remainder.

1,2,4,1153,2306,4612

Greatest Common Factor

We found the factors 8921,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 8921,4612 is 1.

Lets's calculate LCM of 31,930

31 31, 930
1, 30

∴ So the LCM of the given numbers is 31 x 1 x 30 = 930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/930

Therefore, the GCF of Fractions 8921/31,4612/930 is 1/930

Least Common Multiple of 31,930 with GCF Formula

Least Common Multiple of 31,930 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 31,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,930) = 31

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

GCF(31,930) x common factors =31 x 1 = 31

LCM(31,930) = ( 31 × 930 ) / 31

LCM(31,930) = 28830 / 31

LCM(31,930) = 930


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 8921/31, 4612/930

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 8921/31, 4612/930?

Answer: GCF of Numerators as per given numbers 8921/31, 4612/930 is

GCF of Numerators i.e. for 8921,4612 is 1

LCM of denominators i.e. for 31,930 is 930.

Thus, GCF of Fractions is 1/930.Finally, GCF of Fractions for 8921/31, 4612/930 is 1/930.