Greatest Common Factor of 1723/571, 9832/5145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1723/571, 9832/5145

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 1723/571,9832/5145

Given fractions are 1723/571,9832/5145

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 1723,9832

Greatest Common Factor of Numerators i.e. GCF of 1723,9832 is 1 .

LCM of Denominators means LCM of 571,5145 as per the given fractions.

LCM of 571,5145 is 2937795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1723,9832

GCF of Fractions 1723/571,9832/5145 is 1/2937795

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

Greatest Common Factor of 1723,9832 By Matching Biggest Common Factor Method

Greatest Common Factor of 1723,9832 By Matching Biggest Common Factor Method

Factors of 1723

List of positive integer factors of 1723 that divides 1723 without a remainder.

1,1723

Factors of 9832

List of positive integer factors of 9832 that divides 9832 without a remainder.

1,2,4,8,1229,2458,4916,9832

Greatest Common Factor

We found the factors 1723,9832 . The biggest common factor number is the GCF number.
So the greatest common factor 1723,9832 is 1.

Lets's calculate LCM of 571,5145

Given numbers has no common factors except 1. So, there LCM is their product i.e 2937795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2937795

Therefore, the GCF of Fractions 1723/571,9832/5145 is 1/2937795

Least Common Multiple of 571,5145 with GCF Formula

Least Common Multiple of 571,5145 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 571,5145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,5145) = 1

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

GCF(571,5145) x common factors =1 x 1 = 1

LCM(571,5145) = ( 571 × 5145 ) / 1

LCM(571,5145) = 2937795 / 1

LCM(571,5145) = 2937795


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 1723/571, 9832/5145

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 1723/571, 9832/5145?

Answer: GCF of Numerators as per given numbers 1723/571, 9832/5145 is

GCF of Numerators i.e. for 1723,9832 is 1

LCM of denominators i.e. for 571,5145 is 2937795.

Thus, GCF of Fractions is 1/2937795.Finally, GCF of Fractions for 1723/571, 9832/5145 is 1/2937795.