Greatest Common Factor of 6365/556, 8754/1501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6365/556, 8754/1501

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 6365/556,8754/1501

Given fractions are 6365/556,8754/1501

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 6365,8754

Greatest Common Factor of Numerators i.e. GCF of 6365,8754 is 1 .

LCM of Denominators means LCM of 556,1501 as per the given fractions.

LCM of 556,1501 is 834556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6365,8754

GCF of Fractions 6365/556,8754/1501 is 1/834556

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6365,8754 By Matching Biggest Common Factor Method

Greatest Common Factor of 6365,8754 By Matching Biggest Common Factor Method

Factors of 6365

List of positive integer factors of 6365 that divides 6365 without a remainder.

1,5,19,67,95,335,1273,6365

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

Greatest Common Factor

We found the factors 6365,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 6365,8754 is 1.

Lets's calculate LCM of 556,1501

Given numbers has no common factors except 1. So, there LCM is their product i.e 834556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/834556

Therefore, the GCF of Fractions 6365/556,8754/1501 is 1/834556

Least Common Multiple of 556,1501 with GCF Formula

Least Common Multiple of 556,1501 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 556,1501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,1501) = 1

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

GCF(556,1501) x common factors =1 x 1 = 1

LCM(556,1501) = ( 556 × 1501 ) / 1

LCM(556,1501) = 834556 / 1

LCM(556,1501) = 834556


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 6365/556, 8754/1501

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 6365/556, 8754/1501?

Answer: GCF of Numerators as per given numbers 6365/556, 8754/1501 is

GCF of Numerators i.e. for 6365,8754 is 1

LCM of denominators i.e. for 556,1501 is 834556.

Thus, GCF of Fractions is 1/834556.Finally, GCF of Fractions for 6365/556, 8754/1501 is 1/834556.