Greatest Common Factor of 797/16, 500/72, 616/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 797/16, 500/72, 616/10

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 797/16,500/72,616/10

Given fractions are 797/16,500/72,616/10

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 797,500,616

Greatest Common Factor of Numerators i.e. GCF of 797,500,616 is 1 .

LCM of Denominators means LCM of 16,72,10 as per the given fractions.

LCM of 16,72,10 is 720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 797,500,616

GCF of Fractions 797/16,500/72,616/10 is 1/720

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

Greatest Common Factor of 797,500,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,500,616 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 797,500,616 . The biggest common factor number is the GCF number.
So the greatest common factor 797,500,616 is 1.

Lets's calculate LCM of 16,72,10

2 16, 72, 10
2 8, 36, 5
2 4, 18, 5
2, 9, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 9 x 5 = 720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720

Therefore, the GCF of Fractions 797/16,500/72,616/10 is 1/720

Least Common Multiple of 16,72,10 with GCF Formula

Least Common Multiple of 16,72,10 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 16,72,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,72,10) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(16,72,10) x common factors =2 x 8 = 16

LCM(16,72,10) = ( 16 × 72 × 10 ) / 16

LCM(16,72,10) = 11520 / 16

LCM(16,72,10) = 720


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 797/16, 500/72, 616/10

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 797/16, 500/72, 616/10?

Answer: GCF of Numerators as per given numbers 797/16, 500/72, 616/10 is

GCF of Numerators i.e. for 797,500,616 is 1

LCM of denominators i.e. for 16,72,10 is 720.

Thus, GCF of Fractions is 1/720.Finally, GCF of Fractions for 797/16, 500/72, 616/10 is 1/720.