Greatest Common Factor of 80/14, 97/80, 77/86, 29/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/14, 97/80, 77/86, 29/120

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 80/14,97/80,77/86,29/120

Given fractions are 80/14,97/80,77/86,29/120

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 80,97,77,29

Greatest Common Factor of Numerators i.e. GCF of 80,97,77,29 is 1 .

LCM of Denominators means LCM of 14,80,86,120 as per the given fractions.

LCM of 14,80,86,120 is 72240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,97,77,29

GCF of Fractions 80/14,97/80,77/86,29/120 is 1/72240

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

Greatest Common Factor of 80,97,77,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,97,77,29 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 77

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

1,7,11,77

Factors of 29

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

1,29

Greatest Common Factor

We found the factors 80,97,77,29 . The biggest common factor number is the GCF number.
So the greatest common factor 80,97,77,29 is 1.

Lets's calculate LCM of 14,80,86,120

2 14, 80, 86, 120
2 7, 40, 43, 60
2 7, 20, 43, 30
5 7, 10, 43, 15
7, 2, 43, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 2 x 43 x 3 = 72240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72240

Therefore, the GCF of Fractions 80/14,97/80,77/86,29/120 is 1/72240

Least Common Multiple of 14,80,86,120 with GCF Formula

Least Common Multiple of 14,80,86,120 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 14,80,86,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,80,86,120) = 2

common factors(in case of two or more numbers have common factors) = 80

GCF(14,80,86,120) x common factors =2 x 80 = 160

LCM(14,80,86,120) = ( 14 × 80 × 86 × 120 ) / 160

LCM(14,80,86,120) = 11558400 / 160

LCM(14,80,86,120) = 72240


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 80/14, 97/80, 77/86, 29/120

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 80/14, 97/80, 77/86, 29/120?

Answer: GCF of Numerators as per given numbers 80/14, 97/80, 77/86, 29/120 is

GCF of Numerators i.e. for 80,97,77,29 is 1

LCM of denominators i.e. for 14,80,86,120 is 72240.

Thus, GCF of Fractions is 1/72240.Finally, GCF of Fractions for 80/14, 97/80, 77/86, 29/120 is 1/72240.