Greatest Common Factor of 596/767, 982/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 596/767, 982/769

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 596/767,982/769

Given fractions are 596/767,982/769

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 596,982

Greatest Common Factor of Numerators i.e. GCF of 596,982 is 2 .

LCM of Denominators means LCM of 767,769 as per the given fractions.

LCM of 767,769 is 589823 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 596,982

GCF of Fractions 596/767,982/769 is 2/589823

2 596, 982
298, 491

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 596,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,982 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 596,982 . The biggest common factor number is the GCF number.
So the greatest common factor 596,982 is 2.

Lets's calculate LCM of 767,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 589823

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/589823

Therefore, the GCF of Fractions 596/767,982/769 is 2/589823

Least Common Multiple of 767,769 with GCF Formula

Least Common Multiple of 767,769 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 767,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,769) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(767,769) x common factors =1 x 1 = 1

LCM(767,769) = ( 767 × 769 ) / 1

LCM(767,769) = 589823 / 1

LCM(767,769) = 589823


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 596/767, 982/769

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 596/767, 982/769?

Answer: GCF of Numerators as per given numbers 596/767, 982/769 is

GCF of Numerators i.e. for 596,982 is 2

LCM of denominators i.e. for 767,769 is 589823.

Thus, GCF of Fractions is 2/589823.Finally, GCF of Fractions for 596/767, 982/769 is 2/589823.