Greatest Common Factor of 581/213, 318/131, 967/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 581/213, 318/131, 967/304

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 581/213,318/131,967/304

Given fractions are 581/213,318/131,967/304

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 581,318,967

Greatest Common Factor of Numerators i.e. GCF of 581,318,967 is 1 .

LCM of Denominators means LCM of 213,131,304 as per the given fractions.

LCM of 213,131,304 is 8482512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 581,318,967

GCF of Fractions 581/213,318/131,967/304 is 1/8482512

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

Greatest Common Factor of 581,318,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,318,967 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 581,318,967 . The biggest common factor number is the GCF number.
So the greatest common factor 581,318,967 is 1.

Lets's calculate LCM of 213,131,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 8482512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8482512

Therefore, the GCF of Fractions 581/213,318/131,967/304 is 1/8482512

Least Common Multiple of 213,131,304 with GCF Formula

Least Common Multiple of 213,131,304 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 213,131,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,131,304) = 1

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

GCF(213,131,304) x common factors =1 x 1 = 1

LCM(213,131,304) = ( 213 × 131 × 304 ) / 1

LCM(213,131,304) = 8482512 / 1

LCM(213,131,304) = 8482512


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 581/213, 318/131, 967/304

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 581/213, 318/131, 967/304?

Answer: GCF of Numerators as per given numbers 581/213, 318/131, 967/304 is

GCF of Numerators i.e. for 581,318,967 is 1

LCM of denominators i.e. for 213,131,304 is 8482512.

Thus, GCF of Fractions is 1/8482512.Finally, GCF of Fractions for 581/213, 318/131, 967/304 is 1/8482512.