Greatest Common Factor of 4204/23, 1709/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4204/23, 1709/491

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 4204/23,1709/491

Given fractions are 4204/23,1709/491

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 4204,1709

Greatest Common Factor of Numerators i.e. GCF of 4204,1709 is 1 .

LCM of Denominators means LCM of 23,491 as per the given fractions.

LCM of 23,491 is 11293 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4204,1709

GCF of Fractions 4204/23,1709/491 is 1/11293

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

Greatest Common Factor of 4204,1709 By Matching Biggest Common Factor Method

Greatest Common Factor of 4204,1709 By Matching Biggest Common Factor Method

Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1,2,4,1051,2102,4204

Factors of 1709

List of positive integer factors of 1709 that divides 1709 without a remainder.

1,1709

Greatest Common Factor

We found the factors 4204,1709 . The biggest common factor number is the GCF number.
So the greatest common factor 4204,1709 is 1.

Lets's calculate LCM of 23,491

Given numbers has no common factors except 1. So, there LCM is their product i.e 11293

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11293

Therefore, the GCF of Fractions 4204/23,1709/491 is 1/11293

Least Common Multiple of 23,491 with GCF Formula

Least Common Multiple of 23,491 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 23,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,491) = 1

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

GCF(23,491) x common factors =1 x 1 = 1

LCM(23,491) = ( 23 × 491 ) / 1

LCM(23,491) = 11293 / 1

LCM(23,491) = 11293


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 4204/23, 1709/491

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 4204/23, 1709/491?

Answer: GCF of Numerators as per given numbers 4204/23, 1709/491 is

GCF of Numerators i.e. for 4204,1709 is 1

LCM of denominators i.e. for 23,491 is 11293.

Thus, GCF of Fractions is 1/11293.Finally, GCF of Fractions for 4204/23, 1709/491 is 1/11293.