Greatest Common Factor of 499/36, 784/31, 767/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 499/36, 784/31, 767/939

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 499/36,784/31,767/939

Given fractions are 499/36,784/31,767/939

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 499,784,767

Greatest Common Factor of Numerators i.e. GCF of 499,784,767 is 1 .

LCM of Denominators means LCM of 36,31,939 as per the given fractions.

LCM of 36,31,939 is 349308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 499,784,767

GCF of Fractions 499/36,784/31,767/939 is 1/349308

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

Greatest Common Factor of 499,784,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,784,767 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 499,784,767 . The biggest common factor number is the GCF number.
So the greatest common factor 499,784,767 is 1.

Lets's calculate LCM of 36,31,939

3 36, 31, 939
12, 31, 313

∴ So the LCM of the given numbers is 3 x 12 x 31 x 313 = 349308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349308

Therefore, the GCF of Fractions 499/36,784/31,767/939 is 1/349308

Least Common Multiple of 36,31,939 with GCF Formula

Least Common Multiple of 36,31,939 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 36,31,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,31,939) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,31,939) x common factors =1 x 3 = 3

LCM(36,31,939) = ( 36 × 31 × 939 ) / 3

LCM(36,31,939) = 1047924 / 3

LCM(36,31,939) = 349308


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 499/36, 784/31, 767/939

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 499/36, 784/31, 767/939?

Answer: GCF of Numerators as per given numbers 499/36, 784/31, 767/939 is

GCF of Numerators i.e. for 499,784,767 is 1

LCM of denominators i.e. for 36,31,939 is 349308.

Thus, GCF of Fractions is 1/349308.Finally, GCF of Fractions for 499/36, 784/31, 767/939 is 1/349308.