Greatest Common Factor of 8489/53, 2526/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8489/53, 2526/996

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 8489/53,2526/996

Given fractions are 8489/53,2526/996

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 8489,2526

Greatest Common Factor of Numerators i.e. GCF of 8489,2526 is 1 .

LCM of Denominators means LCM of 53,996 as per the given fractions.

LCM of 53,996 is 52788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8489,2526

GCF of Fractions 8489/53,2526/996 is 1/52788

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

Greatest Common Factor of 8489,2526 By Matching Biggest Common Factor Method

Greatest Common Factor of 8489,2526 By Matching Biggest Common Factor Method

Factors of 8489

List of positive integer factors of 8489 that divides 8489 without a remainder.

1,13,653,8489

Factors of 2526

List of positive integer factors of 2526 that divides 2526 without a remainder.

1,2,3,6,421,842,1263,2526

Greatest Common Factor

We found the factors 8489,2526 . The biggest common factor number is the GCF number.
So the greatest common factor 8489,2526 is 1.

Lets's calculate LCM of 53,996

Given numbers has no common factors except 1. So, there LCM is their product i.e 52788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52788

Therefore, the GCF of Fractions 8489/53,2526/996 is 1/52788

Least Common Multiple of 53,996 with GCF Formula

Least Common Multiple of 53,996 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 53,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,996) = 1

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

GCF(53,996) x common factors =1 x 1 = 1

LCM(53,996) = ( 53 × 996 ) / 1

LCM(53,996) = 52788 / 1

LCM(53,996) = 52788


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 8489/53, 2526/996

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 8489/53, 2526/996?

Answer: GCF of Numerators as per given numbers 8489/53, 2526/996 is

GCF of Numerators i.e. for 8489,2526 is 1

LCM of denominators i.e. for 53,996 is 52788.

Thus, GCF of Fractions is 1/52788.Finally, GCF of Fractions for 8489/53, 2526/996 is 1/52788.