Greatest Common Factor of 405/765, 845/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/765, 845/133

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 405/765,845/133

Given fractions are 405/765,845/133

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 405,845

Greatest Common Factor of Numerators i.e. GCF of 405,845 is 5 .

LCM of Denominators means LCM of 765,133 as per the given fractions.

LCM of 765,133 is 101745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,845

GCF of Fractions 405/765,845/133 is 5/101745

5 405, 845
81, 169

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

Greatest Common Factor of 405,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,845 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 405,845 . The biggest common factor number is the GCF number.
So the greatest common factor 405,845 is 5.

Lets's calculate LCM of 765,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 101745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/101745

Therefore, the GCF of Fractions 405/765,845/133 is 5/101745

Least Common Multiple of 765,133 with GCF Formula

Least Common Multiple of 765,133 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 765,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,133) = 1

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

GCF(765,133) x common factors =1 x 1 = 1

LCM(765,133) = ( 765 × 133 ) / 1

LCM(765,133) = 101745 / 1

LCM(765,133) = 101745


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 405/765, 845/133

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 405/765, 845/133?

Answer: GCF of Numerators as per given numbers 405/765, 845/133 is

GCF of Numerators i.e. for 405,845 is 5

LCM of denominators i.e. for 765,133 is 101745.

Thus, GCF of Fractions is 5/101745.Finally, GCF of Fractions for 405/765, 845/133 is 5/101745.