Greatest Common Factor of 8240/635, 5470/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8240/635, 5470/729

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 8240/635,5470/729

Given fractions are 8240/635,5470/729

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 8240,5470

Greatest Common Factor of Numerators i.e. GCF of 8240,5470 is 10 .

LCM of Denominators means LCM of 635,729 as per the given fractions.

LCM of 635,729 is 462915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8240,5470

GCF of Fractions 8240/635,5470/729 is 10/462915

2 8240, 5470
5 4120, 2735
824, 547

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8240,5470 By Matching Biggest Common Factor Method

Greatest Common Factor of 8240,5470 By Matching Biggest Common Factor Method

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Factors of 5470

List of positive integer factors of 5470 that divides 5470 without a remainder.

1,2,5,10,547,1094,2735,5470

Greatest Common Factor

We found the factors 8240,5470 . The biggest common factor number is the GCF number.
So the greatest common factor 8240,5470 is 10.

Lets's calculate LCM of 635,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 462915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/462915

Therefore, the GCF of Fractions 8240/635,5470/729 is 10/462915

Least Common Multiple of 635,729 with GCF Formula

Least Common Multiple of 635,729 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 635,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,729) = 1

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

GCF(635,729) x common factors =1 x 1 = 1

LCM(635,729) = ( 635 × 729 ) / 1

LCM(635,729) = 462915 / 1

LCM(635,729) = 462915


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 8240/635, 5470/729

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 8240/635, 5470/729?

Answer: GCF of Numerators as per given numbers 8240/635, 5470/729 is

GCF of Numerators i.e. for 8240,5470 is 10

LCM of denominators i.e. for 635,729 is 462915.

Thus, GCF of Fractions is 10/462915.Finally, GCF of Fractions for 8240/635, 5470/729 is 10/462915.