Greatest Common Factor of 8454/84, 8024/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8454/84, 8024/378

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 8454/84,8024/378

Given fractions are 8454/84,8024/378

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 8454,8024

Greatest Common Factor of Numerators i.e. GCF of 8454,8024 is 2 .

LCM of Denominators means LCM of 84,378 as per the given fractions.

LCM of 84,378 is 756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8454,8024

GCF of Fractions 8454/84,8024/378 is 2/756

2 8454, 8024
4227, 4012

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

Greatest Common Factor of 8454,8024 By Matching Biggest Common Factor Method

Greatest Common Factor of 8454,8024 By Matching Biggest Common Factor Method

Factors of 8454

List of positive integer factors of 8454 that divides 8454 without a remainder.

1,2,3,6,1409,2818,4227,8454

Factors of 8024

List of positive integer factors of 8024 that divides 8024 without a remainder.

1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024

Greatest Common Factor

We found the factors 8454,8024 . The biggest common factor number is the GCF number.
So the greatest common factor 8454,8024 is 2.

Lets's calculate LCM of 84,378

2 84, 378
3 42, 189
7 14, 63
2, 9

∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 9 = 756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/756

Therefore, the GCF of Fractions 8454/84,8024/378 is 2/756

Least Common Multiple of 84,378 with GCF Formula

Least Common Multiple of 84,378 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 84,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,378) = 42

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

GCF(84,378) x common factors =42 x 1 = 42

LCM(84,378) = ( 84 × 378 ) / 42

LCM(84,378) = 31752 / 42

LCM(84,378) = 756


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 8454/84, 8024/378

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 8454/84, 8024/378?

Answer: GCF of Numerators as per given numbers 8454/84, 8024/378 is

GCF of Numerators i.e. for 8454,8024 is 2

LCM of denominators i.e. for 84,378 is 756.

Thus, GCF of Fractions is 2/756.Finally, GCF of Fractions for 8454/84, 8024/378 is 2/756.