Greatest Common Factor of 13/85, 856/79, 738/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/85, 856/79, 738/511

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 13/85,856/79,738/511

Given fractions are 13/85,856/79,738/511

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 13,856,738

Greatest Common Factor of Numerators i.e. GCF of 13,856,738 is 1 .

LCM of Denominators means LCM of 85,79,511 as per the given fractions.

LCM of 85,79,511 is 3431365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,856,738

GCF of Fractions 13/85,856/79,738/511 is 1/3431365

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

Greatest Common Factor of 13,856,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,856,738 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 856

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

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

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 13,856,738 . The biggest common factor number is the GCF number.
So the greatest common factor 13,856,738 is 1.

Lets's calculate LCM of 85,79,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 3431365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3431365

Therefore, the GCF of Fractions 13/85,856/79,738/511 is 1/3431365

Least Common Multiple of 85,79,511 with GCF Formula

Least Common Multiple of 85,79,511 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 85,79,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,79,511) = 1

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

GCF(85,79,511) x common factors =1 x 1 = 1

LCM(85,79,511) = ( 85 × 79 × 511 ) / 1

LCM(85,79,511) = 3431365 / 1

LCM(85,79,511) = 3431365


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 13/85, 856/79, 738/511

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 13/85, 856/79, 738/511?

Answer: GCF of Numerators as per given numbers 13/85, 856/79, 738/511 is

GCF of Numerators i.e. for 13,856,738 is 1

LCM of denominators i.e. for 85,79,511 is 3431365.

Thus, GCF of Fractions is 1/3431365.Finally, GCF of Fractions for 13/85, 856/79, 738/511 is 1/3431365.