Greatest Common Factor of 24/517, 809/136, 723/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/517, 809/136, 723/114

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 24/517,809/136,723/114

Given fractions are 24/517,809/136,723/114

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 24,809,723

Greatest Common Factor of Numerators i.e. GCF of 24,809,723 is 1 .

LCM of Denominators means LCM of 517,136,114 as per the given fractions.

LCM of 517,136,114 is 4007784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,809,723

GCF of Fractions 24/517,809/136,723/114 is 1/4007784

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

Greatest Common Factor of 24,809,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,809,723 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 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 24,809,723 . The biggest common factor number is the GCF number.
So the greatest common factor 24,809,723 is 1.

Lets's calculate LCM of 517,136,114

2 517, 136, 114
517, 68, 57

∴ So the LCM of the given numbers is 2 x 517 x 68 x 57 = 4007784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4007784

Therefore, the GCF of Fractions 24/517,809/136,723/114 is 1/4007784

Least Common Multiple of 517,136,114 with GCF Formula

Least Common Multiple of 517,136,114 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 517,136,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,136,114) = 1

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

GCF(517,136,114) x common factors =1 x 2 = 2

LCM(517,136,114) = ( 517 × 136 × 114 ) / 2

LCM(517,136,114) = 8015568 / 2

LCM(517,136,114) = 4007784


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 24/517, 809/136, 723/114

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 24/517, 809/136, 723/114?

Answer: GCF of Numerators as per given numbers 24/517, 809/136, 723/114 is

GCF of Numerators i.e. for 24,809,723 is 1

LCM of denominators i.e. for 517,136,114 is 4007784.

Thus, GCF of Fractions is 1/4007784.Finally, GCF of Fractions for 24/517, 809/136, 723/114 is 1/4007784.