Greatest Common Factor of 8355/952, 5427/5755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8355/952, 5427/5755

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 8355/952,5427/5755

Given fractions are 8355/952,5427/5755

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 8355,5427

Greatest Common Factor of Numerators i.e. GCF of 8355,5427 is 3 .

LCM of Denominators means LCM of 952,5755 as per the given fractions.

LCM of 952,5755 is 5478760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8355,5427

GCF of Fractions 8355/952,5427/5755 is 3/5478760

3 8355, 5427
2785, 1809

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8355,5427 By Matching Biggest Common Factor Method

Greatest Common Factor of 8355,5427 By Matching Biggest Common Factor Method

Factors of 8355

List of positive integer factors of 8355 that divides 8355 without a remainder.

1,3,5,15,557,1671,2785,8355

Factors of 5427

List of positive integer factors of 5427 that divides 5427 without a remainder.

1,3,9,27,67,81,201,603,1809,5427

Greatest Common Factor

We found the factors 8355,5427 . The biggest common factor number is the GCF number.
So the greatest common factor 8355,5427 is 3.

Lets's calculate LCM of 952,5755

Given numbers has no common factors except 1. So, there LCM is their product i.e 5478760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5478760

Therefore, the GCF of Fractions 8355/952,5427/5755 is 3/5478760

Least Common Multiple of 952,5755 with GCF Formula

Least Common Multiple of 952,5755 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 952,5755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,5755) = 1

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

GCF(952,5755) x common factors =1 x 1 = 1

LCM(952,5755) = ( 952 × 5755 ) / 1

LCM(952,5755) = 5478760 / 1

LCM(952,5755) = 5478760


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 8355/952, 5427/5755

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 8355/952, 5427/5755?

Answer: GCF of Numerators as per given numbers 8355/952, 5427/5755 is

GCF of Numerators i.e. for 8355,5427 is 3

LCM of denominators i.e. for 952,5755 is 5478760.

Thus, GCF of Fractions is 3/5478760.Finally, GCF of Fractions for 8355/952, 5427/5755 is 3/5478760.