Greatest Common Factor of 13/78, 72/205, 901/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/78, 72/205, 901/826

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 13/78,72/205,901/826

Given fractions are 13/78,72/205,901/826

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 13,72,901

Greatest Common Factor of Numerators i.e. GCF of 13,72,901 is 1 .

LCM of Denominators means LCM of 78,205,826 as per the given fractions.

LCM of 78,205,826 is 6603870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,72,901

GCF of Fractions 13/78,72/205,901/826 is 1/6603870

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

Greatest Common Factor of 13,72,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,72,901 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 13,72,901 . The biggest common factor number is the GCF number.
So the greatest common factor 13,72,901 is 1.

Lets's calculate LCM of 78,205,826

2 78, 205, 826
39, 205, 413

∴ So the LCM of the given numbers is 2 x 39 x 205 x 413 = 6603870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6603870

Therefore, the GCF of Fractions 13/78,72/205,901/826 is 1/6603870

Least Common Multiple of 78,205,826 with GCF Formula

Least Common Multiple of 78,205,826 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 78,205,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,205,826) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,205,826) x common factors =1 x 2 = 2

LCM(78,205,826) = ( 78 × 205 × 826 ) / 2

LCM(78,205,826) = 13207740 / 2

LCM(78,205,826) = 6603870


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 13/78, 72/205, 901/826

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 13/78, 72/205, 901/826?

Answer: GCF of Numerators as per given numbers 13/78, 72/205, 901/826 is

GCF of Numerators i.e. for 13,72,901 is 1

LCM of denominators i.e. for 78,205,826 is 6603870.

Thus, GCF of Fractions is 1/6603870.Finally, GCF of Fractions for 13/78, 72/205, 901/826 is 1/6603870.