Greatest Common Factor of 811/454, 2716/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/454, 2716/144

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 811/454,2716/144

Given fractions are 811/454,2716/144

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 811,2716

Greatest Common Factor of Numerators i.e. GCF of 811,2716 is 1 .

LCM of Denominators means LCM of 454,144 as per the given fractions.

LCM of 454,144 is 32688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,2716

GCF of Fractions 811/454,2716/144 is 1/32688

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

Greatest Common Factor of 811,2716 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,2716 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 2716

List of positive integer factors of 2716 that divides 2716 without a remainder.

1,2,4,7,14,28,97,194,388,679,1358,2716

Greatest Common Factor

We found the factors 811,2716 . The biggest common factor number is the GCF number.
So the greatest common factor 811,2716 is 1.

Lets's calculate LCM of 454,144

2 454, 144
227, 72

∴ So the LCM of the given numbers is 2 x 227 x 72 = 32688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32688

Therefore, the GCF of Fractions 811/454,2716/144 is 1/32688

Least Common Multiple of 454,144 with GCF Formula

Least Common Multiple of 454,144 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 454,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,144) = 2

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

GCF(454,144) x common factors =2 x 1 = 2

LCM(454,144) = ( 454 × 144 ) / 2

LCM(454,144) = 65376 / 2

LCM(454,144) = 32688


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 811/454, 2716/144

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 811/454, 2716/144?

Answer: GCF of Numerators as per given numbers 811/454, 2716/144 is

GCF of Numerators i.e. for 811,2716 is 1

LCM of denominators i.e. for 454,144 is 32688.

Thus, GCF of Fractions is 1/32688.Finally, GCF of Fractions for 811/454, 2716/144 is 1/32688.