Greatest Common Factor of 150/65, 745/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/65, 745/445

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 150/65,745/445

Given fractions are 150/65,745/445

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 150,745

Greatest Common Factor of Numerators i.e. GCF of 150,745 is 5 .

LCM of Denominators means LCM of 65,445 as per the given fractions.

LCM of 65,445 is 5785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,745

GCF of Fractions 150/65,745/445 is 5/5785

5 150, 745
30, 149

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 150,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,745 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 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 150,745 . The biggest common factor number is the GCF number.
So the greatest common factor 150,745 is 5.

Lets's calculate LCM of 65,445

5 65, 445
13, 89

∴ So the LCM of the given numbers is 5 x 13 x 89 = 5785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5785

Therefore, the GCF of Fractions 150/65,745/445 is 5/5785

Least Common Multiple of 65,445 with GCF Formula

Least Common Multiple of 65,445 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 65,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,445) = 5

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

GCF(65,445) x common factors =5 x 1 = 5

LCM(65,445) = ( 65 × 445 ) / 5

LCM(65,445) = 28925 / 5

LCM(65,445) = 5785


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 150/65, 745/445

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 150/65, 745/445?

Answer: GCF of Numerators as per given numbers 150/65, 745/445 is

GCF of Numerators i.e. for 150,745 is 5

LCM of denominators i.e. for 65,445 is 5785.

Thus, GCF of Fractions is 5/5785.Finally, GCF of Fractions for 150/65, 745/445 is 5/5785.