Greatest Common Factor of 816/87, 5709/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/87, 5709/514

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 816/87,5709/514

Given fractions are 816/87,5709/514

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 816,5709

Greatest Common Factor of Numerators i.e. GCF of 816,5709 is 3 .

LCM of Denominators means LCM of 87,514 as per the given fractions.

LCM of 87,514 is 44718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,5709

GCF of Fractions 816/87,5709/514 is 3/44718

3 816, 5709
272, 1903

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 816,5709 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,5709 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1,3,11,33,173,519,1903,5709

Greatest Common Factor

We found the factors 816,5709 . The biggest common factor number is the GCF number.
So the greatest common factor 816,5709 is 3.

Lets's calculate LCM of 87,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 44718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/44718

Therefore, the GCF of Fractions 816/87,5709/514 is 3/44718

Least Common Multiple of 87,514 with GCF Formula

Least Common Multiple of 87,514 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 87,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,514) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,514) x common factors =1 x 1 = 1

LCM(87,514) = ( 87 × 514 ) / 1

LCM(87,514) = 44718 / 1

LCM(87,514) = 44718


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 816/87, 5709/514

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 816/87, 5709/514?

Answer: GCF of Numerators as per given numbers 816/87, 5709/514 is

GCF of Numerators i.e. for 816,5709 is 3

LCM of denominators i.e. for 87,514 is 44718.

Thus, GCF of Fractions is 3/44718.Finally, GCF of Fractions for 816/87, 5709/514 is 3/44718.