Greatest Common Factor of 177/378, 295/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 177/378, 295/903

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 177/378,295/903

Given fractions are 177/378,295/903

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 177,295

Greatest Common Factor of Numerators i.e. GCF of 177,295 is 59 .

LCM of Denominators means LCM of 378,903 as per the given fractions.

LCM of 378,903 is 16254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 177,295

GCF of Fractions 177/378,295/903 is 59/16254

59 177, 295
3, 5

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 177,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,295 By Matching Biggest Common Factor Method

Factors of 177

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

1,3,59,177

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 177,295 . The biggest common factor number is the GCF number.
So the greatest common factor 177,295 is 59.

Lets's calculate LCM of 378,903

3 378, 903
7 126, 301
18, 43

∴ So the LCM of the given numbers is 3 x 7 x 18 x 43 = 16254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/16254

Therefore, the GCF of Fractions 177/378,295/903 is 59/16254

Least Common Multiple of 378,903 with GCF Formula

Least Common Multiple of 378,903 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 378,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,903) = 21

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

GCF(378,903) x common factors =21 x 1 = 21

LCM(378,903) = ( 378 × 903 ) / 21

LCM(378,903) = 341334 / 21

LCM(378,903) = 16254


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 177/378, 295/903

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 177/378, 295/903?

Answer: GCF of Numerators as per given numbers 177/378, 295/903 is

GCF of Numerators i.e. for 177,295 is 59

LCM of denominators i.e. for 378,903 is 16254.

Thus, GCF of Fractions is 59/16254.Finally, GCF of Fractions for 177/378, 295/903 is 59/16254.