Greatest Common Factor of 1766/147, 6225/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1766/147, 6225/180

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 1766/147,6225/180

Given fractions are 1766/147,6225/180

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 1766,6225

Greatest Common Factor of Numerators i.e. GCF of 1766,6225 is 1 .

LCM of Denominators means LCM of 147,180 as per the given fractions.

LCM of 147,180 is 8820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1766,6225

GCF of Fractions 1766/147,6225/180 is 1/8820

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

Greatest Common Factor of 1766,6225 By Matching Biggest Common Factor Method

Greatest Common Factor of 1766,6225 By Matching Biggest Common Factor Method

Factors of 1766

List of positive integer factors of 1766 that divides 1766 without a remainder.

1,2,883,1766

Factors of 6225

List of positive integer factors of 6225 that divides 6225 without a remainder.

1,3,5,15,25,75,83,249,415,1245,2075,6225

Greatest Common Factor

We found the factors 1766,6225 . The biggest common factor number is the GCF number.
So the greatest common factor 1766,6225 is 1.

Lets's calculate LCM of 147,180

3 147, 180
49, 60

∴ So the LCM of the given numbers is 3 x 49 x 60 = 8820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8820

Therefore, the GCF of Fractions 1766/147,6225/180 is 1/8820

Least Common Multiple of 147,180 with GCF Formula

Least Common Multiple of 147,180 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 147,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,180) = 3

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

GCF(147,180) x common factors =3 x 1 = 3

LCM(147,180) = ( 147 × 180 ) / 3

LCM(147,180) = 26460 / 3

LCM(147,180) = 8820


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 1766/147, 6225/180

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 1766/147, 6225/180?

Answer: GCF of Numerators as per given numbers 1766/147, 6225/180 is

GCF of Numerators i.e. for 1766,6225 is 1

LCM of denominators i.e. for 147,180 is 8820.

Thus, GCF of Fractions is 1/8820.Finally, GCF of Fractions for 1766/147, 6225/180 is 1/8820.