Greatest Common Factor of 31/47, 773/89, 377/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/47, 773/89, 377/343

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 31/47,773/89,377/343

Given fractions are 31/47,773/89,377/343

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 31,773,377

Greatest Common Factor of Numerators i.e. GCF of 31,773,377 is 1 .

LCM of Denominators means LCM of 47,89,343 as per the given fractions.

LCM of 47,89,343 is 1434769 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,773,377

GCF of Fractions 31/47,773/89,377/343 is 1/1434769

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

Greatest Common Factor of 31,773,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,773,377 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 31,773,377 . The biggest common factor number is the GCF number.
So the greatest common factor 31,773,377 is 1.

Lets's calculate LCM of 47,89,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 1434769

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1434769

Therefore, the GCF of Fractions 31/47,773/89,377/343 is 1/1434769

Least Common Multiple of 47,89,343 with GCF Formula

Least Common Multiple of 47,89,343 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 47,89,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,89,343) = 1

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

GCF(47,89,343) x common factors =1 x 1 = 1

LCM(47,89,343) = ( 47 × 89 × 343 ) / 1

LCM(47,89,343) = 1434769 / 1

LCM(47,89,343) = 1434769


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 31/47, 773/89, 377/343

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 31/47, 773/89, 377/343?

Answer: GCF of Numerators as per given numbers 31/47, 773/89, 377/343 is

GCF of Numerators i.e. for 31,773,377 is 1

LCM of denominators i.e. for 47,89,343 is 1434769.

Thus, GCF of Fractions is 1/1434769.Finally, GCF of Fractions for 31/47, 773/89, 377/343 is 1/1434769.