Greatest Common Factor of 8978/82, 3822/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8978/82, 3822/284

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 8978/82,3822/284

Given fractions are 8978/82,3822/284

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 8978,3822

Greatest Common Factor of Numerators i.e. GCF of 8978,3822 is 2 .

LCM of Denominators means LCM of 82,284 as per the given fractions.

LCM of 82,284 is 11644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8978,3822

GCF of Fractions 8978/82,3822/284 is 2/11644

2 8978, 3822
4489, 1911

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

Greatest Common Factor of 8978,3822 By Matching Biggest Common Factor Method

Greatest Common Factor of 8978,3822 By Matching Biggest Common Factor Method

Factors of 8978

List of positive integer factors of 8978 that divides 8978 without a remainder.

1,2,67,134,4489,8978

Factors of 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822

Greatest Common Factor

We found the factors 8978,3822 . The biggest common factor number is the GCF number.
So the greatest common factor 8978,3822 is 2.

Lets's calculate LCM of 82,284

2 82, 284
41, 142

∴ So the LCM of the given numbers is 2 x 41 x 142 = 11644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11644

Therefore, the GCF of Fractions 8978/82,3822/284 is 2/11644

Least Common Multiple of 82,284 with GCF Formula

Least Common Multiple of 82,284 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 82,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,284) = 2

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

GCF(82,284) x common factors =2 x 1 = 2

LCM(82,284) = ( 82 × 284 ) / 2

LCM(82,284) = 23288 / 2

LCM(82,284) = 11644


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 8978/82, 3822/284

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 8978/82, 3822/284?

Answer: GCF of Numerators as per given numbers 8978/82, 3822/284 is

GCF of Numerators i.e. for 8978,3822 is 2

LCM of denominators i.e. for 82,284 is 11644.

Thus, GCF of Fractions is 2/11644.Finally, GCF of Fractions for 8978/82, 3822/284 is 2/11644.