Greatest Common Factor of 2675/529, 2512/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2675/529, 2512/820

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 2675/529,2512/820

Given fractions are 2675/529,2512/820

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 2675,2512

Greatest Common Factor of Numerators i.e. GCF of 2675,2512 is 1 .

LCM of Denominators means LCM of 529,820 as per the given fractions.

LCM of 529,820 is 433780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2675,2512

GCF of Fractions 2675/529,2512/820 is 1/433780

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

Greatest Common Factor of 2675,2512 By Matching Biggest Common Factor Method

Greatest Common Factor of 2675,2512 By Matching Biggest Common Factor Method

Factors of 2675

List of positive integer factors of 2675 that divides 2675 without a remainder.

1,5,25,107,535,2675

Factors of 2512

List of positive integer factors of 2512 that divides 2512 without a remainder.

1,2,4,8,16,157,314,628,1256,2512

Greatest Common Factor

We found the factors 2675,2512 . The biggest common factor number is the GCF number.
So the greatest common factor 2675,2512 is 1.

Lets's calculate LCM of 529,820

Given numbers has no common factors except 1. So, there LCM is their product i.e 433780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433780

Therefore, the GCF of Fractions 2675/529,2512/820 is 1/433780

Least Common Multiple of 529,820 with GCF Formula

Least Common Multiple of 529,820 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 529,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,820) = 1

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

GCF(529,820) x common factors =1 x 1 = 1

LCM(529,820) = ( 529 × 820 ) / 1

LCM(529,820) = 433780 / 1

LCM(529,820) = 433780


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 2675/529, 2512/820

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 2675/529, 2512/820?

Answer: GCF of Numerators as per given numbers 2675/529, 2512/820 is

GCF of Numerators i.e. for 2675,2512 is 1

LCM of denominators i.e. for 529,820 is 433780.

Thus, GCF of Fractions is 1/433780.Finally, GCF of Fractions for 2675/529, 2512/820 is 1/433780.