Greatest Common Factor of 600/81, 916/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/81, 916/271

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 600/81,916/271

Given fractions are 600/81,916/271

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 600,916

Greatest Common Factor of Numerators i.e. GCF of 600,916 is 4 .

LCM of Denominators means LCM of 81,271 as per the given fractions.

LCM of 81,271 is 21951 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,916

GCF of Fractions 600/81,916/271 is 4/21951

2 600, 916
2 300, 458
150, 229

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 600,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,916 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 600,916 . The biggest common factor number is the GCF number.
So the greatest common factor 600,916 is 4.

Lets's calculate LCM of 81,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 21951

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21951

Therefore, the GCF of Fractions 600/81,916/271 is 4/21951

Least Common Multiple of 81,271 with GCF Formula

Least Common Multiple of 81,271 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 81,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,271) = 1

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

GCF(81,271) x common factors =1 x 1 = 1

LCM(81,271) = ( 81 × 271 ) / 1

LCM(81,271) = 21951 / 1

LCM(81,271) = 21951


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 600/81, 916/271

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 600/81, 916/271?

Answer: GCF of Numerators as per given numbers 600/81, 916/271 is

GCF of Numerators i.e. for 600,916 is 4

LCM of denominators i.e. for 81,271 is 21951.

Thus, GCF of Fractions is 4/21951.Finally, GCF of Fractions for 600/81, 916/271 is 4/21951.