Greatest Common Factor of 436/31, 769/78, 493/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 436/31, 769/78, 493/30

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 436/31,769/78,493/30

Given fractions are 436/31,769/78,493/30

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 436,769,493

Greatest Common Factor of Numerators i.e. GCF of 436,769,493 is 1 .

LCM of Denominators means LCM of 31,78,30 as per the given fractions.

LCM of 31,78,30 is 12090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 436,769,493

GCF of Fractions 436/31,769/78,493/30 is 1/12090

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

Greatest Common Factor of 436,769,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,769,493 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 436,769,493 . The biggest common factor number is the GCF number.
So the greatest common factor 436,769,493 is 1.

Lets's calculate LCM of 31,78,30

2 31, 78, 30
3 31, 39, 15
31, 13, 5

∴ So the LCM of the given numbers is 2 x 3 x 31 x 13 x 5 = 12090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12090

Therefore, the GCF of Fractions 436/31,769/78,493/30 is 1/12090

Least Common Multiple of 31,78,30 with GCF Formula

Least Common Multiple of 31,78,30 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 31,78,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,78,30) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(31,78,30) x common factors =1 x 6 = 6

LCM(31,78,30) = ( 31 × 78 × 30 ) / 6

LCM(31,78,30) = 72540 / 6

LCM(31,78,30) = 12090


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 436/31, 769/78, 493/30

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 436/31, 769/78, 493/30?

Answer: GCF of Numerators as per given numbers 436/31, 769/78, 493/30 is

GCF of Numerators i.e. for 436,769,493 is 1

LCM of denominators i.e. for 31,78,30 is 12090.

Thus, GCF of Fractions is 1/12090.Finally, GCF of Fractions for 436/31, 769/78, 493/30 is 1/12090.