Greatest Common Factor of 932/213, 3090/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 932/213, 3090/487

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 932/213,3090/487

Given fractions are 932/213,3090/487

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 932,3090

Greatest Common Factor of Numerators i.e. GCF of 932,3090 is 2 .

LCM of Denominators means LCM of 213,487 as per the given fractions.

LCM of 213,487 is 103731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 932,3090

GCF of Fractions 932/213,3090/487 is 2/103731

2 932, 3090
466, 1545

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

Greatest Common Factor of 932,3090 By Matching Biggest Common Factor Method

Greatest Common Factor of 932,3090 By Matching Biggest Common Factor Method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 3090

List of positive integer factors of 3090 that divides 3090 without a remainder.

1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090

Greatest Common Factor

We found the factors 932,3090 . The biggest common factor number is the GCF number.
So the greatest common factor 932,3090 is 2.

Lets's calculate LCM of 213,487

Given numbers has no common factors except 1. So, there LCM is their product i.e 103731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103731

Therefore, the GCF of Fractions 932/213,3090/487 is 2/103731

Least Common Multiple of 213,487 with GCF Formula

Least Common Multiple of 213,487 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 213,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,487) = 1

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

GCF(213,487) x common factors =1 x 1 = 1

LCM(213,487) = ( 213 × 487 ) / 1

LCM(213,487) = 103731 / 1

LCM(213,487) = 103731


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 932/213, 3090/487

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 932/213, 3090/487?

Answer: GCF of Numerators as per given numbers 932/213, 3090/487 is

GCF of Numerators i.e. for 932,3090 is 2

LCM of denominators i.e. for 213,487 is 103731.

Thus, GCF of Fractions is 2/103731.Finally, GCF of Fractions for 932/213, 3090/487 is 2/103731.