Greatest Common Factor of 83/36, 68/56, 82/29, 142/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/36, 68/56, 82/29, 142/78

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 83/36,68/56,82/29,142/78

Given fractions are 83/36,68/56,82/29,142/78

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 83,68,82,142

Greatest Common Factor of Numerators i.e. GCF of 83,68,82,142 is 1 .

LCM of Denominators means LCM of 36,56,29,78 as per the given fractions.

LCM of 36,56,29,78 is 190008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,68,82,142

GCF of Fractions 83/36,68/56,82/29,142/78 is 1/190008

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

Greatest Common Factor of 83,68,82,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,68,82,142 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 83,68,82,142 . The biggest common factor number is the GCF number.
So the greatest common factor 83,68,82,142 is 1.

Lets's calculate LCM of 36,56,29,78

2 36, 56, 29, 78
2 18, 28, 29, 39
3 9, 14, 29, 39
3, 14, 29, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 14 x 29 x 13 = 190008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190008

Therefore, the GCF of Fractions 83/36,68/56,82/29,142/78 is 1/190008

Least Common Multiple of 36,56,29,78 with GCF Formula

Least Common Multiple of 36,56,29,78 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 36,56,29,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,56,29,78) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(36,56,29,78) x common factors =1 x 24 = 24

LCM(36,56,29,78) = ( 36 × 56 × 29 × 78 ) / 24

LCM(36,56,29,78) = 4560192 / 24

LCM(36,56,29,78) = 190008


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 83/36, 68/56, 82/29, 142/78

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 83/36, 68/56, 82/29, 142/78?

Answer: GCF of Numerators as per given numbers 83/36, 68/56, 82/29, 142/78 is

GCF of Numerators i.e. for 83,68,82,142 is 1

LCM of denominators i.e. for 36,56,29,78 is 190008.

Thus, GCF of Fractions is 1/190008.Finally, GCF of Fractions for 83/36, 68/56, 82/29, 142/78 is 1/190008.