Greatest Common Factor of 150/189, 4180/4758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/189, 4180/4758

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 150/189,4180/4758

Given fractions are 150/189,4180/4758

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 150,4180

Greatest Common Factor of Numerators i.e. GCF of 150,4180 is 10 .

LCM of Denominators means LCM of 189,4758 as per the given fractions.

LCM of 189,4758 is 299754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,4180

GCF of Fractions 150/189,4180/4758 is 10/299754

2 150, 4180
5 75, 2090
15, 418

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 150,4180 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,4180 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Greatest Common Factor

We found the factors 150,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 150,4180 is 10.

Lets's calculate LCM of 189,4758

3 189, 4758
63, 1586

∴ So the LCM of the given numbers is 3 x 63 x 1586 = 299754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/299754

Therefore, the GCF of Fractions 150/189,4180/4758 is 10/299754

Least Common Multiple of 189,4758 with GCF Formula

Least Common Multiple of 189,4758 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 189,4758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,4758) = 3

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

GCF(189,4758) x common factors =3 x 1 = 3

LCM(189,4758) = ( 189 × 4758 ) / 3

LCM(189,4758) = 899262 / 3

LCM(189,4758) = 299754


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 150/189, 4180/4758

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 150/189, 4180/4758?

Answer: GCF of Numerators as per given numbers 150/189, 4180/4758 is

GCF of Numerators i.e. for 150,4180 is 10

LCM of denominators i.e. for 189,4758 is 299754.

Thus, GCF of Fractions is 10/299754.Finally, GCF of Fractions for 150/189, 4180/4758 is 10/299754.