Greatest Common Factor of 72/76, 55/69, 46/78, 13/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/76, 55/69, 46/78, 13/858

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 72/76,55/69,46/78,13/858

Given fractions are 72/76,55/69,46/78,13/858

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 72,55,46,13

Greatest Common Factor of Numerators i.e. GCF of 72,55,46,13 is 1 .

LCM of Denominators means LCM of 76,69,78,858 as per the given fractions.

LCM of 76,69,78,858 is 749892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,55,46,13

GCF of Fractions 72/76,55/69,46/78,13/858 is 1/749892

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

Greatest Common Factor of 72,55,46,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,55,46,13 By Matching Biggest Common Factor Method

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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 13

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

1,13

Greatest Common Factor

We found the factors 72,55,46,13 . The biggest common factor number is the GCF number.
So the greatest common factor 72,55,46,13 is 1.

Lets's calculate LCM of 76,69,78,858

2 76, 69, 78, 858
3 38, 69, 39, 429
13 38, 23, 13, 143
38, 23, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 38 x 23 x 1 x 11 = 749892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749892

Therefore, the GCF of Fractions 72/76,55/69,46/78,13/858 is 1/749892

Least Common Multiple of 76,69,78,858 with GCF Formula

Least Common Multiple of 76,69,78,858 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 76,69,78,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,69,78,858) = 1

common factors(in case of two or more numbers have common factors) = 468

GCF(76,69,78,858) x common factors =1 x 468 = 468

LCM(76,69,78,858) = ( 76 × 69 × 78 × 858 ) / 468

LCM(76,69,78,858) = 350949456 / 468

LCM(76,69,78,858) = 749892


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 72/76, 55/69, 46/78, 13/858

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 72/76, 55/69, 46/78, 13/858?

Answer: GCF of Numerators as per given numbers 72/76, 55/69, 46/78, 13/858 is

GCF of Numerators i.e. for 72,55,46,13 is 1

LCM of denominators i.e. for 76,69,78,858 is 749892.

Thus, GCF of Fractions is 1/749892.Finally, GCF of Fractions for 72/76, 55/69, 46/78, 13/858 is 1/749892.