Greatest Common Factor of 150/45, 670/1981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/45, 670/1981

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 150/45,670/1981

Given fractions are 150/45,670/1981

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 150,670

Greatest Common Factor of Numerators i.e. GCF of 150,670 is 10 .

LCM of Denominators means LCM of 45,1981 as per the given fractions.

LCM of 45,1981 is 89145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,670

GCF of Fractions 150/45,670/1981 is 10/89145

2 150, 670
5 75, 335
15, 67

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

Greatest Common Factor of 150,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,670 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 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 150,670 . The biggest common factor number is the GCF number.
So the greatest common factor 150,670 is 10.

Lets's calculate LCM of 45,1981

Given numbers has no common factors except 1. So, there LCM is their product i.e 89145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/89145

Therefore, the GCF of Fractions 150/45,670/1981 is 10/89145

Least Common Multiple of 45,1981 with GCF Formula

Least Common Multiple of 45,1981 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 45,1981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,1981) = 1

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

GCF(45,1981) x common factors =1 x 1 = 1

LCM(45,1981) = ( 45 × 1981 ) / 1

LCM(45,1981) = 89145 / 1

LCM(45,1981) = 89145


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 150/45, 670/1981

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 150/45, 670/1981?

Answer: GCF of Numerators as per given numbers 150/45, 670/1981 is

GCF of Numerators i.e. for 150,670 is 10

LCM of denominators i.e. for 45,1981 is 89145.

Thus, GCF of Fractions is 10/89145.Finally, GCF of Fractions for 150/45, 670/1981 is 10/89145.