Greatest Common Factor of 71/631, 9077/3819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/631, 9077/3819

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 71/631,9077/3819

Given fractions are 71/631,9077/3819

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 71,9077

Greatest Common Factor of Numerators i.e. GCF of 71,9077 is 1 .

LCM of Denominators means LCM of 631,3819 as per the given fractions.

LCM of 631,3819 is 2409789 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,9077

GCF of Fractions 71/631,9077/3819 is 1/2409789

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

Greatest Common Factor of 71,9077 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,9077 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 9077

List of positive integer factors of 9077 that divides 9077 without a remainder.

1,29,313,9077

Greatest Common Factor

We found the factors 71,9077 . The biggest common factor number is the GCF number.
So the greatest common factor 71,9077 is 1.

Lets's calculate LCM of 631,3819

Given numbers has no common factors except 1. So, there LCM is their product i.e 2409789

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2409789

Therefore, the GCF of Fractions 71/631,9077/3819 is 1/2409789

Least Common Multiple of 631,3819 with GCF Formula

Least Common Multiple of 631,3819 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 631,3819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,3819) = 1

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

GCF(631,3819) x common factors =1 x 1 = 1

LCM(631,3819) = ( 631 × 3819 ) / 1

LCM(631,3819) = 2409789 / 1

LCM(631,3819) = 2409789


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 71/631, 9077/3819

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 71/631, 9077/3819?

Answer: GCF of Numerators as per given numbers 71/631, 9077/3819 is

GCF of Numerators i.e. for 71,9077 is 1

LCM of denominators i.e. for 631,3819 is 2409789.

Thus, GCF of Fractions is 1/2409789.Finally, GCF of Fractions for 71/631, 9077/3819 is 1/2409789.