Greatest Common Factor of 8/16, 32/82, 29/412, 365/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/16, 32/82, 29/412, 365/123

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 8/16,32/82,29/412,365/123

Given fractions are 8/16,32/82,29/412,365/123

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 8,32,29,365

Greatest Common Factor of Numerators i.e. GCF of 8,32,29,365 is 1 .

LCM of Denominators means LCM of 16,82,412,123 as per the given fractions.

LCM of 16,82,412,123 is 202704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,32,29,365

GCF of Fractions 8/16,32/82,29/412,365/123 is 1/202704

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

Greatest Common Factor of 8,32,29,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,32,29,365 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 8,32,29,365 . The biggest common factor number is the GCF number.
So the greatest common factor 8,32,29,365 is 1.

Lets's calculate LCM of 16,82,412,123

2 16, 82, 412, 123
2 8, 41, 206, 123
41 4, 41, 103, 123
4, 1, 103, 3

∴ So the LCM of the given numbers is 2 x 2 x 41 x 4 x 1 x 103 x 3 = 202704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202704

Therefore, the GCF of Fractions 8/16,32/82,29/412,365/123 is 1/202704

Least Common Multiple of 16,82,412,123 with GCF Formula

Least Common Multiple of 16,82,412,123 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 16,82,412,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,82,412,123) = 1

common factors(in case of two or more numbers have common factors) = 328

GCF(16,82,412,123) x common factors =1 x 328 = 328

LCM(16,82,412,123) = ( 16 × 82 × 412 × 123 ) / 328

LCM(16,82,412,123) = 66486912 / 328

LCM(16,82,412,123) = 202704


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 8/16, 32/82, 29/412, 365/123

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 8/16, 32/82, 29/412, 365/123?

Answer: GCF of Numerators as per given numbers 8/16, 32/82, 29/412, 365/123 is

GCF of Numerators i.e. for 8,32,29,365 is 1

LCM of denominators i.e. for 16,82,412,123 is 202704.

Thus, GCF of Fractions is 1/202704.Finally, GCF of Fractions for 8/16, 32/82, 29/412, 365/123 is 1/202704.