Greatest Common Factor of 582/417, 1875/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 582/417, 1875/261

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 582/417,1875/261

Given fractions are 582/417,1875/261

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 582,1875

Greatest Common Factor of Numerators i.e. GCF of 582,1875 is 3 .

LCM of Denominators means LCM of 417,261 as per the given fractions.

LCM of 417,261 is 36279 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 582,1875

GCF of Fractions 582/417,1875/261 is 3/36279

3 582, 1875
194, 625

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 582,1875 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,1875 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1,3,5,15,25,75,125,375,625,1875

Greatest Common Factor

We found the factors 582,1875 . The biggest common factor number is the GCF number.
So the greatest common factor 582,1875 is 3.

Lets's calculate LCM of 417,261

3 417, 261
139, 87

∴ So the LCM of the given numbers is 3 x 139 x 87 = 36279

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36279

Therefore, the GCF of Fractions 582/417,1875/261 is 3/36279

Least Common Multiple of 417,261 with GCF Formula

Least Common Multiple of 417,261 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 417,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,261) = 3

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

GCF(417,261) x common factors =3 x 1 = 3

LCM(417,261) = ( 417 × 261 ) / 3

LCM(417,261) = 108837 / 3

LCM(417,261) = 36279


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 582/417, 1875/261

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 582/417, 1875/261?

Answer: GCF of Numerators as per given numbers 582/417, 1875/261 is

GCF of Numerators i.e. for 582,1875 is 3

LCM of denominators i.e. for 417,261 is 36279.

Thus, GCF of Fractions is 3/36279.Finally, GCF of Fractions for 582/417, 1875/261 is 3/36279.