Greatest Common Factor of 71/81, 336/31, 873/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/81, 336/31, 873/977

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 71/81,336/31,873/977

Given fractions are 71/81,336/31,873/977

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 71,336,873

Greatest Common Factor of Numerators i.e. GCF of 71,336,873 is 1 .

LCM of Denominators means LCM of 81,31,977 as per the given fractions.

LCM of 81,31,977 is 2453247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,336,873

GCF of Fractions 71/81,336/31,873/977 is 1/2453247

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

Greatest Common Factor of 71,336,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,336,873 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 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 71,336,873 . The biggest common factor number is the GCF number.
So the greatest common factor 71,336,873 is 1.

Lets's calculate LCM of 81,31,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 2453247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2453247

Therefore, the GCF of Fractions 71/81,336/31,873/977 is 1/2453247

Least Common Multiple of 81,31,977 with GCF Formula

Least Common Multiple of 81,31,977 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 81,31,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,31,977) = 1

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

GCF(81,31,977) x common factors =1 x 1 = 1

LCM(81,31,977) = ( 81 × 31 × 977 ) / 1

LCM(81,31,977) = 2453247 / 1

LCM(81,31,977) = 2453247


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 71/81, 336/31, 873/977

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 71/81, 336/31, 873/977?

Answer: GCF of Numerators as per given numbers 71/81, 336/31, 873/977 is

GCF of Numerators i.e. for 71,336,873 is 1

LCM of denominators i.e. for 81,31,977 is 2453247.

Thus, GCF of Fractions is 1/2453247.Finally, GCF of Fractions for 71/81, 336/31, 873/977 is 1/2453247.