Greatest Common Factor of 2791/608, 2498/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2791/608, 2498/522

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 2791/608,2498/522

Given fractions are 2791/608,2498/522

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 2791,2498

Greatest Common Factor of Numerators i.e. GCF of 2791,2498 is 1 .

LCM of Denominators means LCM of 608,522 as per the given fractions.

LCM of 608,522 is 158688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2791,2498

GCF of Fractions 2791/608,2498/522 is 1/158688

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

Greatest Common Factor of 2791,2498 By Matching Biggest Common Factor Method

Greatest Common Factor of 2791,2498 By Matching Biggest Common Factor Method

Factors of 2791

List of positive integer factors of 2791 that divides 2791 without a remainder.

1,2791

Factors of 2498

List of positive integer factors of 2498 that divides 2498 without a remainder.

1,2,1249,2498

Greatest Common Factor

We found the factors 2791,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 2791,2498 is 1.

Lets's calculate LCM of 608,522

2 608, 522
304, 261

∴ So the LCM of the given numbers is 2 x 304 x 261 = 158688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158688

Therefore, the GCF of Fractions 2791/608,2498/522 is 1/158688

Least Common Multiple of 608,522 with GCF Formula

Least Common Multiple of 608,522 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 608,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,522) = 2

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

GCF(608,522) x common factors =2 x 1 = 2

LCM(608,522) = ( 608 × 522 ) / 2

LCM(608,522) = 317376 / 2

LCM(608,522) = 158688


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 2791/608, 2498/522

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 2791/608, 2498/522?

Answer: GCF of Numerators as per given numbers 2791/608, 2498/522 is

GCF of Numerators i.e. for 2791,2498 is 1

LCM of denominators i.e. for 608,522 is 158688.

Thus, GCF of Fractions is 1/158688.Finally, GCF of Fractions for 2791/608, 2498/522 is 1/158688.