Greatest Common Factor of 580/23, 580/51, 957/88

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/23, 580/51, 957/88

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 580/23,580/51,957/88

Given fractions are 580/23,580/51,957/88

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 580,580,957

Greatest Common Factor of Numerators i.e. GCF of 580,580,957 is 29 .

LCM of Denominators means LCM of 23,51,88 as per the given fractions.

LCM of 23,51,88 is 103224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,580,957

GCF of Fractions 580/23,580/51,957/88 is 29/103224

29 580, 580, 957
20, 20, 33

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 580,580,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,580,957 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 580,580,957 . The biggest common factor number is the GCF number.
So the greatest common factor 580,580,957 is 29.

Lets's calculate LCM of 23,51,88

Given numbers has no common factors except 1. So, there LCM is their product i.e 103224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/103224

Therefore, the GCF of Fractions 580/23,580/51,957/88 is 29/103224

Least Common Multiple of 23,51,88 with GCF Formula

Least Common Multiple of 23,51,88 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 23,51,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,51,88) = 1

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

GCF(23,51,88) x common factors =1 x 1 = 1

LCM(23,51,88) = ( 23 × 51 × 88 ) / 1

LCM(23,51,88) = 103224 / 1

LCM(23,51,88) = 103224


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 580/23, 580/51, 957/88

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 580/23, 580/51, 957/88?

Answer: GCF of Numerators as per given numbers 580/23, 580/51, 957/88 is

GCF of Numerators i.e. for 580,580,957 is 29

LCM of denominators i.e. for 23,51,88 is 103224.

Thus, GCF of Fractions is 29/103224.Finally, GCF of Fractions for 580/23, 580/51, 957/88 is 29/103224.