Greatest Common Factor of 80/87, 76/72, 690/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/87, 76/72, 690/16

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 80/87,76/72,690/16

Given fractions are 80/87,76/72,690/16

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 80,76,690

Greatest Common Factor of Numerators i.e. GCF of 80,76,690 is 2 .

LCM of Denominators means LCM of 87,72,16 as per the given fractions.

LCM of 87,72,16 is 4176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,76,690

GCF of Fractions 80/87,76/72,690/16 is 2/4176

2 80, 76, 690
40, 38, 345

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

Greatest Common Factor of 80,76,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,76,690 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 80,76,690 . The biggest common factor number is the GCF number.
So the greatest common factor 80,76,690 is 2.

Lets's calculate LCM of 87,72,16

2 87, 72, 16
2 87, 36, 8
2 87, 18, 4
3 87, 9, 2
29, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 3 x 2 = 4176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4176

Therefore, the GCF of Fractions 80/87,76/72,690/16 is 2/4176

Least Common Multiple of 87,72,16 with GCF Formula

Least Common Multiple of 87,72,16 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 87,72,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,72,16) = 1

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

GCF(87,72,16) x common factors =1 x 24 = 24

LCM(87,72,16) = ( 87 × 72 × 16 ) / 24

LCM(87,72,16) = 100224 / 24

LCM(87,72,16) = 4176


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 80/87, 76/72, 690/16

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 80/87, 76/72, 690/16?

Answer: GCF of Numerators as per given numbers 80/87, 76/72, 690/16 is

GCF of Numerators i.e. for 80,76,690 is 2

LCM of denominators i.e. for 87,72,16 is 4176.

Thus, GCF of Fractions is 2/4176.Finally, GCF of Fractions for 80/87, 76/72, 690/16 is 2/4176.