Greatest Common Factor of 8631/533, 4340/7826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8631/533, 4340/7826

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 8631/533,4340/7826

Given fractions are 8631/533,4340/7826

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 8631,4340

Greatest Common Factor of Numerators i.e. GCF of 8631,4340 is 7 .

LCM of Denominators means LCM of 533,7826 as per the given fractions.

LCM of 533,7826 is 320866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8631,4340

GCF of Fractions 8631/533,4340/7826 is 7/320866

7 8631, 4340
1233, 620

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8631,4340 By Matching Biggest Common Factor Method

Greatest Common Factor of 8631,4340 By Matching Biggest Common Factor Method

Factors of 8631

List of positive integer factors of 8631 that divides 8631 without a remainder.

1,3,7,9,21,63,137,411,959,1233,2877,8631

Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Greatest Common Factor

We found the factors 8631,4340 . The biggest common factor number is the GCF number.
So the greatest common factor 8631,4340 is 7.

Lets's calculate LCM of 533,7826

13 533, 7826
41, 602

∴ So the LCM of the given numbers is 13 x 41 x 602 = 320866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/320866

Therefore, the GCF of Fractions 8631/533,4340/7826 is 7/320866

Least Common Multiple of 533,7826 with GCF Formula

Least Common Multiple of 533,7826 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 533,7826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,7826) = 13

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

GCF(533,7826) x common factors =13 x 1 = 13

LCM(533,7826) = ( 533 × 7826 ) / 13

LCM(533,7826) = 4171258 / 13

LCM(533,7826) = 320866


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 8631/533, 4340/7826

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 8631/533, 4340/7826?

Answer: GCF of Numerators as per given numbers 8631/533, 4340/7826 is

GCF of Numerators i.e. for 8631,4340 is 7

LCM of denominators i.e. for 533,7826 is 320866.

Thus, GCF of Fractions is 7/320866.Finally, GCF of Fractions for 8631/533, 4340/7826 is 7/320866.