Greatest Common Factor of 231/69, 415/94, 256/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/69, 415/94, 256/99

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 231/69,415/94,256/99

Given fractions are 231/69,415/94,256/99

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 231,415,256

Greatest Common Factor of Numerators i.e. GCF of 231,415,256 is 1 .

LCM of Denominators means LCM of 69,94,99 as per the given fractions.

LCM of 69,94,99 is 214038 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,415,256

GCF of Fractions 231/69,415/94,256/99 is 1/214038

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

Greatest Common Factor of 231,415,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,415,256 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 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 231,415,256 . The biggest common factor number is the GCF number.
So the greatest common factor 231,415,256 is 1.

Lets's calculate LCM of 69,94,99

3 69, 94, 99
23, 94, 33

∴ So the LCM of the given numbers is 3 x 23 x 94 x 33 = 214038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214038

Therefore, the GCF of Fractions 231/69,415/94,256/99 is 1/214038

Least Common Multiple of 69,94,99 with GCF Formula

Least Common Multiple of 69,94,99 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 69,94,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,94,99) = 1

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

GCF(69,94,99) x common factors =1 x 3 = 3

LCM(69,94,99) = ( 69 × 94 × 99 ) / 3

LCM(69,94,99) = 642114 / 3

LCM(69,94,99) = 214038


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 231/69, 415/94, 256/99

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 231/69, 415/94, 256/99?

Answer: GCF of Numerators as per given numbers 231/69, 415/94, 256/99 is

GCF of Numerators i.e. for 231,415,256 is 1

LCM of denominators i.e. for 69,94,99 is 214038.

Thus, GCF of Fractions is 1/214038.Finally, GCF of Fractions for 231/69, 415/94, 256/99 is 1/214038.