Greatest Common Factor of 7521/680, 2590/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7521/680, 2590/533

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 7521/680,2590/533

Given fractions are 7521/680,2590/533

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 7521,2590

Greatest Common Factor of Numerators i.e. GCF of 7521,2590 is 1 .

LCM of Denominators means LCM of 680,533 as per the given fractions.

LCM of 680,533 is 362440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7521,2590

GCF of Fractions 7521/680,2590/533 is 1/362440

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

Greatest Common Factor of 7521,2590 By Matching Biggest Common Factor Method

Greatest Common Factor of 7521,2590 By Matching Biggest Common Factor Method

Factors of 7521

List of positive integer factors of 7521 that divides 7521 without a remainder.

1,3,23,69,109,327,2507,7521

Factors of 2590

List of positive integer factors of 2590 that divides 2590 without a remainder.

1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590

Greatest Common Factor

We found the factors 7521,2590 . The biggest common factor number is the GCF number.
So the greatest common factor 7521,2590 is 1.

Lets's calculate LCM of 680,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 362440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362440

Therefore, the GCF of Fractions 7521/680,2590/533 is 1/362440

Least Common Multiple of 680,533 with GCF Formula

Least Common Multiple of 680,533 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 680,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,533) = 1

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

GCF(680,533) x common factors =1 x 1 = 1

LCM(680,533) = ( 680 × 533 ) / 1

LCM(680,533) = 362440 / 1

LCM(680,533) = 362440


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 7521/680, 2590/533

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 7521/680, 2590/533?

Answer: GCF of Numerators as per given numbers 7521/680, 2590/533 is

GCF of Numerators i.e. for 7521,2590 is 1

LCM of denominators i.e. for 680,533 is 362440.

Thus, GCF of Fractions is 1/362440.Finally, GCF of Fractions for 7521/680, 2590/533 is 1/362440.