Greatest Common Factor of 8556/383, 5452/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8556/383, 5452/312

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 8556/383,5452/312

Given fractions are 8556/383,5452/312

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 8556,5452

Greatest Common Factor of Numerators i.e. GCF of 8556,5452 is 4 .

LCM of Denominators means LCM of 383,312 as per the given fractions.

LCM of 383,312 is 119496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8556,5452

GCF of Fractions 8556/383,5452/312 is 4/119496

2 8556, 5452
2 4278, 2726
2139, 1363

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

Greatest Common Factor of 8556,5452 By Matching Biggest Common Factor Method

Greatest Common Factor of 8556,5452 By Matching Biggest Common Factor Method

Factors of 8556

List of positive integer factors of 8556 that divides 8556 without a remainder.

1,2,3,4,6,12,23,31,46,62,69,92,93,124,138,186,276,372,713,1426,2139,2852,4278,8556

Factors of 5452

List of positive integer factors of 5452 that divides 5452 without a remainder.

1,2,4,29,47,58,94,116,188,1363,2726,5452

Greatest Common Factor

We found the factors 8556,5452 . The biggest common factor number is the GCF number.
So the greatest common factor 8556,5452 is 4.

Lets's calculate LCM of 383,312

Given numbers has no common factors except 1. So, there LCM is their product i.e 119496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/119496

Therefore, the GCF of Fractions 8556/383,5452/312 is 4/119496

Least Common Multiple of 383,312 with GCF Formula

Least Common Multiple of 383,312 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 383,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,312) = 1

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

GCF(383,312) x common factors =1 x 1 = 1

LCM(383,312) = ( 383 × 312 ) / 1

LCM(383,312) = 119496 / 1

LCM(383,312) = 119496


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 8556/383, 5452/312

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 8556/383, 5452/312?

Answer: GCF of Numerators as per given numbers 8556/383, 5452/312 is

GCF of Numerators i.e. for 8556,5452 is 4

LCM of denominators i.e. for 383,312 is 119496.

Thus, GCF of Fractions is 4/119496.Finally, GCF of Fractions for 8556/383, 5452/312 is 4/119496.