Greatest Common Factor of 540/866, 8825/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 540/866, 8825/356

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 540/866,8825/356

Given fractions are 540/866,8825/356

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 540,8825

Greatest Common Factor of Numerators i.e. GCF of 540,8825 is 5 .

LCM of Denominators means LCM of 866,356 as per the given fractions.

LCM of 866,356 is 154148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 540,8825

GCF of Fractions 540/866,8825/356 is 5/154148

5 540, 8825
108, 1765

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 540,8825 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,8825 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 8825

List of positive integer factors of 8825 that divides 8825 without a remainder.

1,5,25,353,1765,8825

Greatest Common Factor

We found the factors 540,8825 . The biggest common factor number is the GCF number.
So the greatest common factor 540,8825 is 5.


Lets's calculate LCM of 866,356

2 866, 356
433, 178

∴ So the LCM of the given numbers is 2 x 433 x 178 = 154148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/154148

Therefore, the GCF of Fractions 540/866,8825/356 is 5/154148

Least Common Multiple of 866,356 with GCF Formula

Least Common Multiple of 866,356 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 866,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,356) = 2

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

GCF(866,356) x common factors =2 x 1 = 2

LCM(866,356) = ( 866 × 356 ) / 2

LCM(866,356) = 308296 / 2

LCM(866,356) = 154148


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 540/866, 8825/356

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 540/866, 8825/356?

Answer: GCF of Numerators as per given numbers 540/866, 8825/356 is

GCF of Numerators i.e. for 540,8825 is 5

LCM of denominators i.e. for 866,356 is 154148.

Thus, GCF of Fractions is 5/154148.Finally, GCF of Fractions for 540/866, 8825/356 is 5/154148.