Greatest Common Factor of 779/537, 856/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/537, 856/986

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 779/537,856/986

Given fractions are 779/537,856/986

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 779,856

Greatest Common Factor of Numerators i.e. GCF of 779,856 is 1 .

LCM of Denominators means LCM of 537,986 as per the given fractions.

LCM of 537,986 is 529482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,856

GCF of Fractions 779/537,856/986 is 1/529482

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

Greatest Common Factor of 779,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,856 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 779,856 . The biggest common factor number is the GCF number.
So the greatest common factor 779,856 is 1.

Lets's calculate LCM of 537,986

Given numbers has no common factors except 1. So, there LCM is their product i.e 529482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529482

Therefore, the GCF of Fractions 779/537,856/986 is 1/529482

Least Common Multiple of 537,986 with GCF Formula

Least Common Multiple of 537,986 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 537,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,986) = 1

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

GCF(537,986) x common factors =1 x 1 = 1

LCM(537,986) = ( 537 × 986 ) / 1

LCM(537,986) = 529482 / 1

LCM(537,986) = 529482


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 779/537, 856/986

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 779/537, 856/986?

Answer: GCF of Numerators as per given numbers 779/537, 856/986 is

GCF of Numerators i.e. for 779,856 is 1

LCM of denominators i.e. for 537,986 is 529482.

Thus, GCF of Fractions is 1/529482.Finally, GCF of Fractions for 779/537, 856/986 is 1/529482.