Greatest Common Factor of 8376/506, 4068/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8376/506, 4068/275

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 8376/506,4068/275

Given fractions are 8376/506,4068/275

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 8376,4068

Greatest Common Factor of Numerators i.e. GCF of 8376,4068 is 12 .

LCM of Denominators means LCM of 506,275 as per the given fractions.

LCM of 506,275 is 12650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8376,4068

GCF of Fractions 8376/506,4068/275 is 12/12650

2 8376, 4068
2 4188, 2034
3 2094, 1017
698, 339

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 8376,4068 By Matching Biggest Common Factor Method

Greatest Common Factor of 8376,4068 By Matching Biggest Common Factor Method

Factors of 8376

List of positive integer factors of 8376 that divides 8376 without a remainder.

1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376

Factors of 4068

List of positive integer factors of 4068 that divides 4068 without a remainder.

1,2,3,4,6,9,12,18,36,113,226,339,452,678,1017,1356,2034,4068

Greatest Common Factor

We found the factors 8376,4068 . The biggest common factor number is the GCF number.
So the greatest common factor 8376,4068 is 12.

Lets's calculate LCM of 506,275

11 506, 275
46, 25

∴ So the LCM of the given numbers is 11 x 46 x 25 = 12650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/12650

Therefore, the GCF of Fractions 8376/506,4068/275 is 12/12650

Least Common Multiple of 506,275 with GCF Formula

Least Common Multiple of 506,275 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 506,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,275) = 11

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

GCF(506,275) x common factors =11 x 1 = 11

LCM(506,275) = ( 506 × 275 ) / 11

LCM(506,275) = 139150 / 11

LCM(506,275) = 12650


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 8376/506, 4068/275

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 8376/506, 4068/275?

Answer: GCF of Numerators as per given numbers 8376/506, 4068/275 is

GCF of Numerators i.e. for 8376,4068 is 12

LCM of denominators i.e. for 506,275 is 12650.

Thus, GCF of Fractions is 12/12650.Finally, GCF of Fractions for 8376/506, 4068/275 is 12/12650.