Greatest Common Factor of 816/225, 3987/4931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/225, 3987/4931

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 816/225,3987/4931

Given fractions are 816/225,3987/4931

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 816,3987

Greatest Common Factor of Numerators i.e. GCF of 816,3987 is 3 .

LCM of Denominators means LCM of 225,4931 as per the given fractions.

LCM of 225,4931 is 1109475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,3987

GCF of Fractions 816/225,3987/4931 is 3/1109475

3 816, 3987
272, 1329

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

Greatest Common Factor of 816,3987 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,3987 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 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1,3,9,443,1329,3987

Greatest Common Factor

We found the factors 816,3987 . The biggest common factor number is the GCF number.
So the greatest common factor 816,3987 is 3.

Lets's calculate LCM of 225,4931

Given numbers has no common factors except 1. So, there LCM is their product i.e 1109475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1109475

Therefore, the GCF of Fractions 816/225,3987/4931 is 3/1109475

Least Common Multiple of 225,4931 with GCF Formula

Least Common Multiple of 225,4931 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 225,4931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,4931) = 1

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

GCF(225,4931) x common factors =1 x 1 = 1

LCM(225,4931) = ( 225 × 4931 ) / 1

LCM(225,4931) = 1109475 / 1

LCM(225,4931) = 1109475


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 816/225, 3987/4931

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 816/225, 3987/4931?

Answer: GCF of Numerators as per given numbers 816/225, 3987/4931 is

GCF of Numerators i.e. for 816,3987 is 3

LCM of denominators i.e. for 225,4931 is 1109475.

Thus, GCF of Fractions is 3/1109475.Finally, GCF of Fractions for 816/225, 3987/4931 is 3/1109475.