Greatest Common Factor of 4012/832, 8621/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4012/832, 8621/845

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 4012/832,8621/845

Given fractions are 4012/832,8621/845

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 4012,8621

Greatest Common Factor of Numerators i.e. GCF of 4012,8621 is 1 .

LCM of Denominators means LCM of 832,845 as per the given fractions.

LCM of 832,845 is 54080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4012,8621

GCF of Fractions 4012/832,8621/845 is 1/54080

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

Greatest Common Factor of 4012,8621 By Matching Biggest Common Factor Method

Greatest Common Factor of 4012,8621 By Matching Biggest Common Factor Method

Factors of 4012

List of positive integer factors of 4012 that divides 4012 without a remainder.

1,2,4,17,34,59,68,118,236,1003,2006,4012

Factors of 8621

List of positive integer factors of 8621 that divides 8621 without a remainder.

1,37,233,8621

Greatest Common Factor

We found the factors 4012,8621 . The biggest common factor number is the GCF number.
So the greatest common factor 4012,8621 is 1.

Lets's calculate LCM of 832,845

13 832, 845
64, 65

∴ So the LCM of the given numbers is 13 x 64 x 65 = 54080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54080

Therefore, the GCF of Fractions 4012/832,8621/845 is 1/54080

Least Common Multiple of 832,845 with GCF Formula

Least Common Multiple of 832,845 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 832,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,845) = 13

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

GCF(832,845) x common factors =13 x 1 = 13

LCM(832,845) = ( 832 × 845 ) / 13

LCM(832,845) = 703040 / 13

LCM(832,845) = 54080


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 4012/832, 8621/845

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 4012/832, 8621/845?

Answer: GCF of Numerators as per given numbers 4012/832, 8621/845 is

GCF of Numerators i.e. for 4012,8621 is 1

LCM of denominators i.e. for 832,845 is 54080.

Thus, GCF of Fractions is 1/54080.Finally, GCF of Fractions for 4012/832, 8621/845 is 1/54080.