Greatest Common Factor of 8522/827, 5492/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8522/827, 5492/977

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 8522/827,5492/977

Given fractions are 8522/827,5492/977

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 8522,5492

Greatest Common Factor of Numerators i.e. GCF of 8522,5492 is 2 .

LCM of Denominators means LCM of 827,977 as per the given fractions.

LCM of 827,977 is 807979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8522,5492

GCF of Fractions 8522/827,5492/977 is 2/807979

2 8522, 5492
4261, 2746

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

Greatest Common Factor of 8522,5492 By Matching Biggest Common Factor Method

Greatest Common Factor of 8522,5492 By Matching Biggest Common Factor Method

Factors of 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1,2,4261,8522

Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1,2,4,1373,2746,5492

Greatest Common Factor

We found the factors 8522,5492 . The biggest common factor number is the GCF number.
So the greatest common factor 8522,5492 is 2.

Lets's calculate LCM of 827,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 807979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/807979

Therefore, the GCF of Fractions 8522/827,5492/977 is 2/807979

Least Common Multiple of 827,977 with GCF Formula

Least Common Multiple of 827,977 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 827,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,977) = 1

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

GCF(827,977) x common factors =1 x 1 = 1

LCM(827,977) = ( 827 × 977 ) / 1

LCM(827,977) = 807979 / 1

LCM(827,977) = 807979


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 8522/827, 5492/977

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 8522/827, 5492/977?

Answer: GCF of Numerators as per given numbers 8522/827, 5492/977 is

GCF of Numerators i.e. for 8522,5492 is 2

LCM of denominators i.e. for 827,977 is 807979.

Thus, GCF of Fractions is 2/807979.Finally, GCF of Fractions for 8522/827, 5492/977 is 2/807979.