Greatest Common Factor of 24/87, 61/31, 91/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/87, 61/31, 91/580

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 24/87,61/31,91/580

Given fractions are 24/87,61/31,91/580

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 24,61,91

Greatest Common Factor of Numerators i.e. GCF of 24,61,91 is 1 .

LCM of Denominators means LCM of 87,31,580 as per the given fractions.

LCM of 87,31,580 is 53940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,61,91

GCF of Fractions 24/87,61/31,91/580 is 1/53940

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

Greatest Common Factor of 24,61,91 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,61,91 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Greatest Common Factor

We found the factors 24,61,91 . The biggest common factor number is the GCF number.
So the greatest common factor 24,61,91 is 1.

Lets's calculate LCM of 87,31,580

29 87, 31, 580
3, 31, 20

∴ So the LCM of the given numbers is 29 x 3 x 31 x 20 = 53940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53940

Therefore, the GCF of Fractions 24/87,61/31,91/580 is 1/53940

Least Common Multiple of 87,31,580 with GCF Formula

Least Common Multiple of 87,31,580 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 87,31,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,31,580) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(87,31,580) x common factors =1 x 29 = 29

LCM(87,31,580) = ( 87 × 31 × 580 ) / 29

LCM(87,31,580) = 1564260 / 29

LCM(87,31,580) = 53940


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 24/87, 61/31, 91/580

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 24/87, 61/31, 91/580?

Answer: GCF of Numerators as per given numbers 24/87, 61/31, 91/580 is

GCF of Numerators i.e. for 24,61,91 is 1

LCM of denominators i.e. for 87,31,580 is 53940.

Thus, GCF of Fractions is 1/53940.Finally, GCF of Fractions for 24/87, 61/31, 91/580 is 1/53940.