Greatest Common Factor of 456/20, 362/31, 812/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 456/20, 362/31, 812/917

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 456/20,362/31,812/917

Given fractions are 456/20,362/31,812/917

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 456,362,812

Greatest Common Factor of Numerators i.e. GCF of 456,362,812 is 2 .

LCM of Denominators means LCM of 20,31,917 as per the given fractions.

LCM of 20,31,917 is 568540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 456,362,812

GCF of Fractions 456/20,362/31,812/917 is 2/568540

2 456, 362, 812
228, 181, 406

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 456,362,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,362,812 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 456,362,812 . The biggest common factor number is the GCF number.
So the greatest common factor 456,362,812 is 2.

Lets's calculate LCM of 20,31,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 568540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/568540

Therefore, the GCF of Fractions 456/20,362/31,812/917 is 2/568540

Least Common Multiple of 20,31,917 with GCF Formula

Least Common Multiple of 20,31,917 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 20,31,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,31,917) = 1

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

GCF(20,31,917) x common factors =1 x 1 = 1

LCM(20,31,917) = ( 20 × 31 × 917 ) / 1

LCM(20,31,917) = 568540 / 1

LCM(20,31,917) = 568540


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 456/20, 362/31, 812/917

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 456/20, 362/31, 812/917?

Answer: GCF of Numerators as per given numbers 456/20, 362/31, 812/917 is

GCF of Numerators i.e. for 456,362,812 is 2

LCM of denominators i.e. for 20,31,917 is 568540.

Thus, GCF of Fractions is 2/568540.Finally, GCF of Fractions for 456/20, 362/31, 812/917 is 2/568540.