Greatest Common Factor of 8382/363, 4252/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8382/363, 4252/726

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 8382/363,4252/726

Given fractions are 8382/363,4252/726

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 8382,4252

Greatest Common Factor of Numerators i.e. GCF of 8382,4252 is 2 .

LCM of Denominators means LCM of 363,726 as per the given fractions.

LCM of 363,726 is 726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8382,4252

GCF of Fractions 8382/363,4252/726 is 2/726

2 8382, 4252
4191, 2126

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

Greatest Common Factor of 8382,4252 By Matching Biggest Common Factor Method

Greatest Common Factor of 8382,4252 By Matching Biggest Common Factor Method

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Factors of 4252

List of positive integer factors of 4252 that divides 4252 without a remainder.

1,2,4,1063,2126,4252

Greatest Common Factor

We found the factors 8382,4252 . The biggest common factor number is the GCF number.
So the greatest common factor 8382,4252 is 2.

Lets's calculate LCM of 363,726

3 363, 726
11 121, 242
11 11, 22
1, 2

∴ So the LCM of the given numbers is 3 x 11 x 11 x 1 x 2 = 726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/726

Therefore, the GCF of Fractions 8382/363,4252/726 is 2/726

Least Common Multiple of 363,726 with GCF Formula

Least Common Multiple of 363,726 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 363,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,726) = 363

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

GCF(363,726) x common factors =363 x 1 = 363

LCM(363,726) = ( 363 × 726 ) / 363

LCM(363,726) = 263538 / 363

LCM(363,726) = 726


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 8382/363, 4252/726

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 8382/363, 4252/726?

Answer: GCF of Numerators as per given numbers 8382/363, 4252/726 is

GCF of Numerators i.e. for 8382,4252 is 2

LCM of denominators i.e. for 363,726 is 726.

Thus, GCF of Fractions is 2/726.Finally, GCF of Fractions for 8382/363, 4252/726 is 2/726.