Greatest Common Factor of 41/402, 517/163, 310/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/402, 517/163, 310/231

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 41/402,517/163,310/231

Given fractions are 41/402,517/163,310/231

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 41,517,310

Greatest Common Factor of Numerators i.e. GCF of 41,517,310 is 1 .

LCM of Denominators means LCM of 402,163,231 as per the given fractions.

LCM of 402,163,231 is 5045502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,517,310

GCF of Fractions 41/402,517/163,310/231 is 1/5045502

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

Greatest Common Factor of 41,517,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,517,310 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 41,517,310 . The biggest common factor number is the GCF number.
So the greatest common factor 41,517,310 is 1.

Lets's calculate LCM of 402,163,231

3 402, 163, 231
134, 163, 77

∴ So the LCM of the given numbers is 3 x 134 x 163 x 77 = 5045502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5045502

Therefore, the GCF of Fractions 41/402,517/163,310/231 is 1/5045502

Least Common Multiple of 402,163,231 with GCF Formula

Least Common Multiple of 402,163,231 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 402,163,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,163,231) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(402,163,231) x common factors =1 x 3 = 3

LCM(402,163,231) = ( 402 × 163 × 231 ) / 3

LCM(402,163,231) = 15136506 / 3

LCM(402,163,231) = 5045502


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 41/402, 517/163, 310/231

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 41/402, 517/163, 310/231?

Answer: GCF of Numerators as per given numbers 41/402, 517/163, 310/231 is

GCF of Numerators i.e. for 41,517,310 is 1

LCM of denominators i.e. for 402,163,231 is 5045502.

Thus, GCF of Fractions is 1/5045502.Finally, GCF of Fractions for 41/402, 517/163, 310/231 is 1/5045502.