Greatest Common Factor of 816/271, 372/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/271, 372/405

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 816/271,372/405

Given fractions are 816/271,372/405

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 816,372

Greatest Common Factor of Numerators i.e. GCF of 816,372 is 12 .

LCM of Denominators means LCM of 271,405 as per the given fractions.

LCM of 271,405 is 109755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,372

GCF of Fractions 816/271,372/405 is 12/109755

2 816, 372
2 408, 186
3 204, 93
68, 31

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 816,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,372 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 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 816,372 . The biggest common factor number is the GCF number.
So the greatest common factor 816,372 is 12.

Lets's calculate LCM of 271,405

Given numbers has no common factors except 1. So, there LCM is their product i.e 109755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/109755

Therefore, the GCF of Fractions 816/271,372/405 is 12/109755

Least Common Multiple of 271,405 with GCF Formula

Least Common Multiple of 271,405 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 271,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,405) = 1

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

GCF(271,405) x common factors =1 x 1 = 1

LCM(271,405) = ( 271 × 405 ) / 1

LCM(271,405) = 109755 / 1

LCM(271,405) = 109755


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 816/271, 372/405

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 816/271, 372/405?

Answer: GCF of Numerators as per given numbers 816/271, 372/405 is

GCF of Numerators i.e. for 816,372 is 12

LCM of denominators i.e. for 271,405 is 109755.

Thus, GCF of Fractions is 12/109755.Finally, GCF of Fractions for 816/271, 372/405 is 12/109755.