Greatest Common Factor of 845/20, 975/10, 729/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 845/20, 975/10, 729/794

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 845/20,975/10,729/794

Given fractions are 845/20,975/10,729/794

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 845,975,729

Greatest Common Factor of Numerators i.e. GCF of 845,975,729 is 1 .

LCM of Denominators means LCM of 20,10,794 as per the given fractions.

LCM of 20,10,794 is 7940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 845,975,729

GCF of Fractions 845/20,975/10,729/794 is 1/7940

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

Greatest Common Factor of 845,975,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,975,729 By Matching Biggest Common Factor Method

Factors of 845

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

1,5,13,65,169,845

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 845,975,729 . The biggest common factor number is the GCF number.
So the greatest common factor 845,975,729 is 1.

Lets's calculate LCM of 20,10,794

2 20, 10, 794
5 10, 5, 397
2, 1, 397

∴ So the LCM of the given numbers is 2 x 5 x 2 x 1 x 397 = 7940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7940

Therefore, the GCF of Fractions 845/20,975/10,729/794 is 1/7940

Least Common Multiple of 20,10,794 with GCF Formula

Least Common Multiple of 20,10,794 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 20,10,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,10,794) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(20,10,794) x common factors =2 x 10 = 20

LCM(20,10,794) = ( 20 × 10 × 794 ) / 20

LCM(20,10,794) = 158800 / 20

LCM(20,10,794) = 7940


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 845/20, 975/10, 729/794

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 845/20, 975/10, 729/794?

Answer: GCF of Numerators as per given numbers 845/20, 975/10, 729/794 is

GCF of Numerators i.e. for 845,975,729 is 1

LCM of denominators i.e. for 20,10,794 is 7940.

Thus, GCF of Fractions is 1/7940.Finally, GCF of Fractions for 845/20, 975/10, 729/794 is 1/7940.