Greatest Common Factor of 878/57, 177/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 878/57, 177/873

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 878/57,177/873

Given fractions are 878/57,177/873

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 878,177

Greatest Common Factor of Numerators i.e. GCF of 878,177 is 1 .

LCM of Denominators means LCM of 57,873 as per the given fractions.

LCM of 57,873 is 16587 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 878,177

GCF of Fractions 878/57,177/873 is 1/16587

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

Greatest Common Factor of 878,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,177 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 878,177 . The biggest common factor number is the GCF number.
So the greatest common factor 878,177 is 1.


Lets's calculate LCM of 57,873

3 57, 873
19, 291

∴ So the LCM of the given numbers is 3 x 19 x 291 = 16587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16587

Therefore, the GCF of Fractions 878/57,177/873 is 1/16587

Least Common Multiple of 57,873 with GCF Formula

Least Common Multiple of 57,873 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 57,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,873) = 3

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

GCF(57,873) x common factors =3 x 1 = 3

LCM(57,873) = ( 57 × 873 ) / 3

LCM(57,873) = 49761 / 3

LCM(57,873) = 16587


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 878/57, 177/873

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 878/57, 177/873?

Answer: GCF of Numerators as per given numbers 878/57, 177/873 is

GCF of Numerators i.e. for 878,177 is 1

LCM of denominators i.e. for 57,873 is 16587.

Thus, GCF of Fractions is 1/16587.Finally, GCF of Fractions for 878/57, 177/873 is 1/16587.