Greatest Common Factor of 659/575, 2534/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 659/575, 2534/471

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 659/575,2534/471

Given fractions are 659/575,2534/471

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 659,2534

Greatest Common Factor of Numerators i.e. GCF of 659,2534 is 1 .

LCM of Denominators means LCM of 575,471 as per the given fractions.

LCM of 575,471 is 270825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 659,2534

GCF of Fractions 659/575,2534/471 is 1/270825

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

Greatest Common Factor of 659,2534 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,2534 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1,2,7,14,181,362,1267,2534

Greatest Common Factor

We found the factors 659,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 659,2534 is 1.

Lets's calculate LCM of 575,471

Given numbers has no common factors except 1. So, there LCM is their product i.e 270825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270825

Therefore, the GCF of Fractions 659/575,2534/471 is 1/270825

Least Common Multiple of 575,471 with GCF Formula

Least Common Multiple of 575,471 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 575,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,471) = 1

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

GCF(575,471) x common factors =1 x 1 = 1

LCM(575,471) = ( 575 × 471 ) / 1

LCM(575,471) = 270825 / 1

LCM(575,471) = 270825


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 659/575, 2534/471

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 659/575, 2534/471?

Answer: GCF of Numerators as per given numbers 659/575, 2534/471 is

GCF of Numerators i.e. for 659,2534 is 1

LCM of denominators i.e. for 575,471 is 270825.

Thus, GCF of Fractions is 1/270825.Finally, GCF of Fractions for 659/575, 2534/471 is 1/270825.