Greatest Common Factor of 410/272, 5781/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/272, 5781/462

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 410/272,5781/462

Given fractions are 410/272,5781/462

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 410,5781

Greatest Common Factor of Numerators i.e. GCF of 410,5781 is 41 .

LCM of Denominators means LCM of 272,462 as per the given fractions.

LCM of 272,462 is 62832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,5781

GCF of Fractions 410/272,5781/462 is 41/62832

41 410, 5781
10, 141

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 410,5781 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,5781 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 5781

List of positive integer factors of 5781 that divides 5781 without a remainder.

1,3,41,47,123,141,1927,5781

Greatest Common Factor

We found the factors 410,5781 . The biggest common factor number is the GCF number.
So the greatest common factor 410,5781 is 41.

Lets's calculate LCM of 272,462

2 272, 462
136, 231

∴ So the LCM of the given numbers is 2 x 136 x 231 = 62832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/62832

Therefore, the GCF of Fractions 410/272,5781/462 is 41/62832

Least Common Multiple of 272,462 with GCF Formula

Least Common Multiple of 272,462 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 272,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,462) = 2

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

GCF(272,462) x common factors =2 x 1 = 2

LCM(272,462) = ( 272 × 462 ) / 2

LCM(272,462) = 125664 / 2

LCM(272,462) = 62832


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 410/272, 5781/462

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 410/272, 5781/462?

Answer: GCF of Numerators as per given numbers 410/272, 5781/462 is

GCF of Numerators i.e. for 410,5781 is 41

LCM of denominators i.e. for 272,462 is 62832.

Thus, GCF of Fractions is 41/62832.Finally, GCF of Fractions for 410/272, 5781/462 is 41/62832.