Greatest Common Factor of 180/63, 278/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/63, 278/874

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 180/63,278/874

Given fractions are 180/63,278/874

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 180,278

Greatest Common Factor of Numerators i.e. GCF of 180,278 is 2 .

LCM of Denominators means LCM of 63,874 as per the given fractions.

LCM of 63,874 is 55062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,278

GCF of Fractions 180/63,278/874 is 2/55062

2 180, 278
90, 139

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 180,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,278 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 180,278 . The biggest common factor number is the GCF number.
So the greatest common factor 180,278 is 2.

Lets's calculate LCM of 63,874

Given numbers has no common factors except 1. So, there LCM is their product i.e 55062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55062

Therefore, the GCF of Fractions 180/63,278/874 is 2/55062

Least Common Multiple of 63,874 with GCF Formula

Least Common Multiple of 63,874 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 63,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,874) = 1

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

GCF(63,874) x common factors =1 x 1 = 1

LCM(63,874) = ( 63 × 874 ) / 1

LCM(63,874) = 55062 / 1

LCM(63,874) = 55062


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 180/63, 278/874

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 180/63, 278/874?

Answer: GCF of Numerators as per given numbers 180/63, 278/874 is

GCF of Numerators i.e. for 180,278 is 2

LCM of denominators i.e. for 63,874 is 55062.

Thus, GCF of Fractions is 2/55062.Finally, GCF of Fractions for 180/63, 278/874 is 2/55062.