Greatest Common Factor of 378/87, 177/73, 942/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 378/87, 177/73, 942/354

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 378/87,177/73,942/354

Given fractions are 378/87,177/73,942/354

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 378,177,942

Greatest Common Factor of Numerators i.e. GCF of 378,177,942 is 3 .

LCM of Denominators means LCM of 87,73,354 as per the given fractions.

LCM of 87,73,354 is 749418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 378,177,942

GCF of Fractions 378/87,177/73,942/354 is 3/749418

3 378, 177, 942
126, 59, 314

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 378,177,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,177,942 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 177

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

1,3,59,177

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 378,177,942 . The biggest common factor number is the GCF number.
So the greatest common factor 378,177,942 is 3.

Lets's calculate LCM of 87,73,354

3 87, 73, 354
29, 73, 118

∴ So the LCM of the given numbers is 3 x 29 x 73 x 118 = 749418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/749418

Therefore, the GCF of Fractions 378/87,177/73,942/354 is 3/749418

Least Common Multiple of 87,73,354 with GCF Formula

Least Common Multiple of 87,73,354 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 87,73,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,73,354) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,73,354) x common factors =1 x 3 = 3

LCM(87,73,354) = ( 87 × 73 × 354 ) / 3

LCM(87,73,354) = 2248254 / 3

LCM(87,73,354) = 749418


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 378/87, 177/73, 942/354

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 378/87, 177/73, 942/354?

Answer: GCF of Numerators as per given numbers 378/87, 177/73, 942/354 is

GCF of Numerators i.e. for 378,177,942 is 3

LCM of denominators i.e. for 87,73,354 is 749418.

Thus, GCF of Fractions is 3/749418.Finally, GCF of Fractions for 378/87, 177/73, 942/354 is 3/749418.