Greatest Common Factor of 216/96, 816/42, 535/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 216/96, 816/42, 535/871

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 216/96,816/42,535/871

Given fractions are 216/96,816/42,535/871

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 216,816,535

Greatest Common Factor of Numerators i.e. GCF of 216,816,535 is 1 .

LCM of Denominators means LCM of 96,42,871 as per the given fractions.

LCM of 96,42,871 is 585312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 216,816,535

GCF of Fractions 216/96,816/42,535/871 is 1/585312

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

Greatest Common Factor of 216,816,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,816,535 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

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 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 216,816,535 . The biggest common factor number is the GCF number.
So the greatest common factor 216,816,535 is 1.

Lets's calculate LCM of 96,42,871

2 96, 42, 871
3 48, 21, 871
16, 7, 871

∴ So the LCM of the given numbers is 2 x 3 x 16 x 7 x 871 = 585312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585312

Therefore, the GCF of Fractions 216/96,816/42,535/871 is 1/585312

Least Common Multiple of 96,42,871 with GCF Formula

Least Common Multiple of 96,42,871 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 96,42,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,42,871) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,42,871) x common factors =1 x 6 = 6

LCM(96,42,871) = ( 96 × 42 × 871 ) / 6

LCM(96,42,871) = 3511872 / 6

LCM(96,42,871) = 585312


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 216/96, 816/42, 535/871

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 216/96, 816/42, 535/871?

Answer: GCF of Numerators as per given numbers 216/96, 816/42, 535/871 is

GCF of Numerators i.e. for 216,816,535 is 1

LCM of denominators i.e. for 96,42,871 is 585312.

Thus, GCF of Fractions is 1/585312.Finally, GCF of Fractions for 216/96, 816/42, 535/871 is 1/585312.