Greatest Common Factor of 146/781, 311/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/781, 311/191

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 146/781,311/191

Given fractions are 146/781,311/191

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 146,311

Greatest Common Factor of Numerators i.e. GCF of 146,311 is 1 .

LCM of Denominators means LCM of 781,191 as per the given fractions.

LCM of 781,191 is 149171 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,311

GCF of Fractions 146/781,311/191 is 1/149171

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

Greatest Common Factor of 146,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,311 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 146,311 . The biggest common factor number is the GCF number.
So the greatest common factor 146,311 is 1.

Lets's calculate LCM of 781,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 149171

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149171

Therefore, the GCF of Fractions 146/781,311/191 is 1/149171

Least Common Multiple of 781,191 with GCF Formula

Least Common Multiple of 781,191 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 781,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,191) = 1

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

GCF(781,191) x common factors =1 x 1 = 1

LCM(781,191) = ( 781 × 191 ) / 1

LCM(781,191) = 149171 / 1

LCM(781,191) = 149171


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 146/781, 311/191

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 146/781, 311/191?

Answer: GCF of Numerators as per given numbers 146/781, 311/191 is

GCF of Numerators i.e. for 146,311 is 1

LCM of denominators i.e. for 781,191 is 149171.

Thus, GCF of Fractions is 1/149171.Finally, GCF of Fractions for 146/781, 311/191 is 1/149171.