Greatest Common Factor of 8487/731, 2913/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8487/731, 2913/491

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 8487/731,2913/491

Given fractions are 8487/731,2913/491

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 8487,2913

Greatest Common Factor of Numerators i.e. GCF of 8487,2913 is 3 .

LCM of Denominators means LCM of 731,491 as per the given fractions.

LCM of 731,491 is 358921 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8487,2913

GCF of Fractions 8487/731,2913/491 is 3/358921

3 8487, 2913
2829, 971

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8487,2913 By Matching Biggest Common Factor Method

Greatest Common Factor of 8487,2913 By Matching Biggest Common Factor Method

Factors of 8487

List of positive integer factors of 8487 that divides 8487 without a remainder.

1,3,9,23,41,69,123,207,369,943,2829,8487

Factors of 2913

List of positive integer factors of 2913 that divides 2913 without a remainder.

1,3,971,2913

Greatest Common Factor

We found the factors 8487,2913 . The biggest common factor number is the GCF number.
So the greatest common factor 8487,2913 is 3.

Lets's calculate LCM of 731,491

Given numbers has no common factors except 1. So, there LCM is their product i.e 358921

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/358921

Therefore, the GCF of Fractions 8487/731,2913/491 is 3/358921

Least Common Multiple of 731,491 with GCF Formula

Least Common Multiple of 731,491 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 731,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,491) = 1

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

GCF(731,491) x common factors =1 x 1 = 1

LCM(731,491) = ( 731 × 491 ) / 1

LCM(731,491) = 358921 / 1

LCM(731,491) = 358921


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 8487/731, 2913/491

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 8487/731, 2913/491?

Answer: GCF of Numerators as per given numbers 8487/731, 2913/491 is

GCF of Numerators i.e. for 8487,2913 is 3

LCM of denominators i.e. for 731,491 is 358921.

Thus, GCF of Fractions is 3/358921.Finally, GCF of Fractions for 8487/731, 2913/491 is 3/358921.