Greatest Common Factor of 80/62, 88/77, 774/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/62, 88/77, 774/82

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 80/62,88/77,774/82

Given fractions are 80/62,88/77,774/82

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 80,88,774

Greatest Common Factor of Numerators i.e. GCF of 80,88,774 is 2 .

LCM of Denominators means LCM of 62,77,82 as per the given fractions.

LCM of 62,77,82 is 195734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,88,774

GCF of Fractions 80/62,88/77,774/82 is 2/195734

2 80, 88, 774
40, 44, 387

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 80,88,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,88,774 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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 80,88,774 . The biggest common factor number is the GCF number.
So the greatest common factor 80,88,774 is 2.

Lets's calculate LCM of 62,77,82

2 62, 77, 82
31, 77, 41

∴ So the LCM of the given numbers is 2 x 31 x 77 x 41 = 195734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/195734

Therefore, the GCF of Fractions 80/62,88/77,774/82 is 2/195734

Least Common Multiple of 62,77,82 with GCF Formula

Least Common Multiple of 62,77,82 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 62,77,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,77,82) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,77,82) x common factors =1 x 2 = 2

LCM(62,77,82) = ( 62 × 77 × 82 ) / 2

LCM(62,77,82) = 391468 / 2

LCM(62,77,82) = 195734


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 80/62, 88/77, 774/82

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 80/62, 88/77, 774/82?

Answer: GCF of Numerators as per given numbers 80/62, 88/77, 774/82 is

GCF of Numerators i.e. for 80,88,774 is 2

LCM of denominators i.e. for 62,77,82 is 195734.

Thus, GCF of Fractions is 2/195734.Finally, GCF of Fractions for 80/62, 88/77, 774/82 is 2/195734.