Greatest Common Factor of 1461/811, 5195/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1461/811, 5195/344

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 1461/811,5195/344

Given fractions are 1461/811,5195/344

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 1461,5195

Greatest Common Factor of Numerators i.e. GCF of 1461,5195 is 1 .

LCM of Denominators means LCM of 811,344 as per the given fractions.

LCM of 811,344 is 278984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1461,5195

GCF of Fractions 1461/811,5195/344 is 1/278984

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

Greatest Common Factor of 1461,5195 By Matching Biggest Common Factor Method

Greatest Common Factor of 1461,5195 By Matching Biggest Common Factor Method

Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1,3,487,1461

Factors of 5195

List of positive integer factors of 5195 that divides 5195 without a remainder.

1,5,1039,5195

Greatest Common Factor

We found the factors 1461,5195 . The biggest common factor number is the GCF number.
So the greatest common factor 1461,5195 is 1.

Lets's calculate LCM of 811,344

Given numbers has no common factors except 1. So, there LCM is their product i.e 278984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278984

Therefore, the GCF of Fractions 1461/811,5195/344 is 1/278984

Least Common Multiple of 811,344 with GCF Formula

Least Common Multiple of 811,344 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 811,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,344) = 1

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

GCF(811,344) x common factors =1 x 1 = 1

LCM(811,344) = ( 811 × 344 ) / 1

LCM(811,344) = 278984 / 1

LCM(811,344) = 278984


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 1461/811, 5195/344

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 1461/811, 5195/344?

Answer: GCF of Numerators as per given numbers 1461/811, 5195/344 is

GCF of Numerators i.e. for 1461,5195 is 1

LCM of denominators i.e. for 811,344 is 278984.

Thus, GCF of Fractions is 1/278984.Finally, GCF of Fractions for 1461/811, 5195/344 is 1/278984.