Greatest Common Factor of 951/88, 171/23, 768/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 951/88, 171/23, 768/90

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 951/88,171/23,768/90

Given fractions are 951/88,171/23,768/90

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 951,171,768

Greatest Common Factor of Numerators i.e. GCF of 951,171,768 is 3 .

LCM of Denominators means LCM of 88,23,90 as per the given fractions.

LCM of 88,23,90 is 91080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 951,171,768

GCF of Fractions 951/88,171/23,768/90 is 3/91080

3 951, 171, 768
317, 57, 256

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 951,171,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,171,768 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 951,171,768 . The biggest common factor number is the GCF number.
So the greatest common factor 951,171,768 is 3.

Lets's calculate LCM of 88,23,90

2 88, 23, 90
44, 23, 45

∴ So the LCM of the given numbers is 2 x 44 x 23 x 45 = 91080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91080

Therefore, the GCF of Fractions 951/88,171/23,768/90 is 3/91080

Least Common Multiple of 88,23,90 with GCF Formula

Least Common Multiple of 88,23,90 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 88,23,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,23,90) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,23,90) x common factors =1 x 2 = 2

LCM(88,23,90) = ( 88 × 23 × 90 ) / 2

LCM(88,23,90) = 182160 / 2

LCM(88,23,90) = 91080


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 951/88, 171/23, 768/90

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 951/88, 171/23, 768/90?

Answer: GCF of Numerators as per given numbers 951/88, 171/23, 768/90 is

GCF of Numerators i.e. for 951,171,768 is 3

LCM of denominators i.e. for 88,23,90 is 91080.

Thus, GCF of Fractions is 3/91080.Finally, GCF of Fractions for 951/88, 171/23, 768/90 is 3/91080.