Greatest Common Factor of 231/33, 650/70, 257/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/33, 650/70, 257/71

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 231/33,650/70,257/71

Given fractions are 231/33,650/70,257/71

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 231,650,257

Greatest Common Factor of Numerators i.e. GCF of 231,650,257 is 1 .

LCM of Denominators means LCM of 33,70,71 as per the given fractions.

LCM of 33,70,71 is 164010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,650,257

GCF of Fractions 231/33,650/70,257/71 is 1/164010

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

Greatest Common Factor of 231,650,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,650,257 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 231,650,257 . The biggest common factor number is the GCF number.
So the greatest common factor 231,650,257 is 1.

Lets's calculate LCM of 33,70,71

Given numbers has no common factors except 1. So, there LCM is their product i.e 164010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164010

Therefore, the GCF of Fractions 231/33,650/70,257/71 is 1/164010

Least Common Multiple of 33,70,71 with GCF Formula

Least Common Multiple of 33,70,71 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 33,70,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,70,71) = 1

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

GCF(33,70,71) x common factors =1 x 1 = 1

LCM(33,70,71) = ( 33 × 70 × 71 ) / 1

LCM(33,70,71) = 164010 / 1

LCM(33,70,71) = 164010


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 231/33, 650/70, 257/71

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 231/33, 650/70, 257/71?

Answer: GCF of Numerators as per given numbers 231/33, 650/70, 257/71 is

GCF of Numerators i.e. for 231,650,257 is 1

LCM of denominators i.e. for 33,70,71 is 164010.

Thus, GCF of Fractions is 1/164010.Finally, GCF of Fractions for 231/33, 650/70, 257/71 is 1/164010.