Greatest Common Factor of 404/968, 8036/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 404/968, 8036/524

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 404/968,8036/524

Given fractions are 404/968,8036/524

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 404,8036

Greatest Common Factor of Numerators i.e. GCF of 404,8036 is 4 .

LCM of Denominators means LCM of 968,524 as per the given fractions.

LCM of 968,524 is 126808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 404,8036

GCF of Fractions 404/968,8036/524 is 4/126808

2 404, 8036
2 202, 4018
101, 2009

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 404,8036 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,8036 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 8036

List of positive integer factors of 8036 that divides 8036 without a remainder.

1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036

Greatest Common Factor

We found the factors 404,8036 . The biggest common factor number is the GCF number.
So the greatest common factor 404,8036 is 4.

Lets's calculate LCM of 968,524

2 968, 524
2 484, 262
242, 131

∴ So the LCM of the given numbers is 2 x 2 x 242 x 131 = 126808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/126808

Therefore, the GCF of Fractions 404/968,8036/524 is 4/126808

Least Common Multiple of 968,524 with GCF Formula

Least Common Multiple of 968,524 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 968,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,524) = 4

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

GCF(968,524) x common factors =4 x 1 = 4

LCM(968,524) = ( 968 × 524 ) / 4

LCM(968,524) = 507232 / 4

LCM(968,524) = 126808


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 404/968, 8036/524

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 404/968, 8036/524?

Answer: GCF of Numerators as per given numbers 404/968, 8036/524 is

GCF of Numerators i.e. for 404,8036 is 4

LCM of denominators i.e. for 968,524 is 126808.

Thus, GCF of Fractions is 4/126808.Finally, GCF of Fractions for 404/968, 8036/524 is 4/126808.