Greatest Common Factor of 487/74, 502/79, 727/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/74, 502/79, 727/812

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 487/74,502/79,727/812

Given fractions are 487/74,502/79,727/812

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 487,502,727

Greatest Common Factor of Numerators i.e. GCF of 487,502,727 is 1 .

LCM of Denominators means LCM of 74,79,812 as per the given fractions.

LCM of 74,79,812 is 2373476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,502,727

GCF of Fractions 487/74,502/79,727/812 is 1/2373476

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

Greatest Common Factor of 487,502,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,502,727 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 487,502,727 . The biggest common factor number is the GCF number.
So the greatest common factor 487,502,727 is 1.

Lets's calculate LCM of 74,79,812

2 74, 79, 812
37, 79, 406

∴ So the LCM of the given numbers is 2 x 37 x 79 x 406 = 2373476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2373476

Therefore, the GCF of Fractions 487/74,502/79,727/812 is 1/2373476

Least Common Multiple of 74,79,812 with GCF Formula

Least Common Multiple of 74,79,812 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 74,79,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,79,812) = 1

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

GCF(74,79,812) x common factors =1 x 2 = 2

LCM(74,79,812) = ( 74 × 79 × 812 ) / 2

LCM(74,79,812) = 4746952 / 2

LCM(74,79,812) = 2373476


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 487/74, 502/79, 727/812

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 487/74, 502/79, 727/812?

Answer: GCF of Numerators as per given numbers 487/74, 502/79, 727/812 is

GCF of Numerators i.e. for 487,502,727 is 1

LCM of denominators i.e. for 74,79,812 is 2373476.

Thus, GCF of Fractions is 1/2373476.Finally, GCF of Fractions for 487/74, 502/79, 727/812 is 1/2373476.