Greatest Common Factor of 8/42, 77/29, 13/851, 675/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/42, 77/29, 13/851, 675/207

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 8/42,77/29,13/851,675/207

Given fractions are 8/42,77/29,13/851,675/207

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 8,77,13,675

Greatest Common Factor of Numerators i.e. GCF of 8,77,13,675 is 1 .

LCM of Denominators means LCM of 42,29,851,207 as per the given fractions.

LCM of 42,29,851,207 is 3109554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,77,13,675

GCF of Fractions 8/42,77/29,13/851,675/207 is 1/3109554

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

Greatest Common Factor of 8,77,13,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,77,13,675 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 13

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

1,13

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 8,77,13,675 . The biggest common factor number is the GCF number.
So the greatest common factor 8,77,13,675 is 1.

Lets's calculate LCM of 42,29,851,207

3 42, 29, 851, 207
23 14, 29, 851, 69
14, 29, 37, 3

∴ So the LCM of the given numbers is 3 x 23 x 14 x 29 x 37 x 3 = 3109554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3109554

Therefore, the GCF of Fractions 8/42,77/29,13/851,675/207 is 1/3109554

Least Common Multiple of 42,29,851,207 with GCF Formula

Least Common Multiple of 42,29,851,207 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 42,29,851,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,29,851,207) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(42,29,851,207) x common factors =1 x 69 = 69

LCM(42,29,851,207) = ( 42 × 29 × 851 × 207 ) / 69

LCM(42,29,851,207) = 214559226 / 69

LCM(42,29,851,207) = 3109554


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 8/42, 77/29, 13/851, 675/207

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 8/42, 77/29, 13/851, 675/207?

Answer: GCF of Numerators as per given numbers 8/42, 77/29, 13/851, 675/207 is

GCF of Numerators i.e. for 8,77,13,675 is 1

LCM of denominators i.e. for 42,29,851,207 is 3109554.

Thus, GCF of Fractions is 1/3109554.Finally, GCF of Fractions for 8/42, 77/29, 13/851, 675/207 is 1/3109554.