Greatest Common Factor of 247/76, 491/47, 360/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/76, 491/47, 360/861

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 247/76,491/47,360/861

Given fractions are 247/76,491/47,360/861

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 247,491,360

Greatest Common Factor of Numerators i.e. GCF of 247,491,360 is 1 .

LCM of Denominators means LCM of 76,47,861 as per the given fractions.

LCM of 76,47,861 is 3075492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,491,360

GCF of Fractions 247/76,491/47,360/861 is 1/3075492

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

Greatest Common Factor of 247,491,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,491,360 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 247,491,360 . The biggest common factor number is the GCF number.
So the greatest common factor 247,491,360 is 1.

Lets's calculate LCM of 76,47,861

Given numbers has no common factors except 1. So, there LCM is their product i.e 3075492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3075492

Therefore, the GCF of Fractions 247/76,491/47,360/861 is 1/3075492

Least Common Multiple of 76,47,861 with GCF Formula

Least Common Multiple of 76,47,861 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 76,47,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,47,861) = 1

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

GCF(76,47,861) x common factors =1 x 1 = 1

LCM(76,47,861) = ( 76 × 47 × 861 ) / 1

LCM(76,47,861) = 3075492 / 1

LCM(76,47,861) = 3075492


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 247/76, 491/47, 360/861

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 247/76, 491/47, 360/861?

Answer: GCF of Numerators as per given numbers 247/76, 491/47, 360/861 is

GCF of Numerators i.e. for 247,491,360 is 1

LCM of denominators i.e. for 76,47,861 is 3075492.

Thus, GCF of Fractions is 1/3075492.Finally, GCF of Fractions for 247/76, 491/47, 360/861 is 1/3075492.