Greatest Common Factor of 797/523, 2105/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 797/523, 2105/312

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 797/523,2105/312

Given fractions are 797/523,2105/312

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 797,2105

Greatest Common Factor of Numerators i.e. GCF of 797,2105 is 1 .

LCM of Denominators means LCM of 523,312 as per the given fractions.

LCM of 523,312 is 163176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 797,2105

GCF of Fractions 797/523,2105/312 is 1/163176

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

Greatest Common Factor of 797,2105 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,2105 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 2105

List of positive integer factors of 2105 that divides 2105 without a remainder.

1,5,421,2105

Greatest Common Factor

We found the factors 797,2105 . The biggest common factor number is the GCF number.
So the greatest common factor 797,2105 is 1.

Lets's calculate LCM of 523,312

Given numbers has no common factors except 1. So, there LCM is their product i.e 163176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163176

Therefore, the GCF of Fractions 797/523,2105/312 is 1/163176

Least Common Multiple of 523,312 with GCF Formula

Least Common Multiple of 523,312 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 523,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,312) = 1

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

GCF(523,312) x common factors =1 x 1 = 1

LCM(523,312) = ( 523 × 312 ) / 1

LCM(523,312) = 163176 / 1

LCM(523,312) = 163176


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 797/523, 2105/312

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 797/523, 2105/312?

Answer: GCF of Numerators as per given numbers 797/523, 2105/312 is

GCF of Numerators i.e. for 797,2105 is 1

LCM of denominators i.e. for 523,312 is 163176.

Thus, GCF of Fractions is 1/163176.Finally, GCF of Fractions for 797/523, 2105/312 is 1/163176.