Greatest Common Factor of 524/30, 1723/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 524/30, 1723/292

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 524/30,1723/292

Given fractions are 524/30,1723/292

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 524,1723

Greatest Common Factor of Numerators i.e. GCF of 524,1723 is 1 .

LCM of Denominators means LCM of 30,292 as per the given fractions.

LCM of 30,292 is 4380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 524,1723

GCF of Fractions 524/30,1723/292 is 1/4380

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

Greatest Common Factor of 524,1723 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,1723 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 1723

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

1,1723

Greatest Common Factor

We found the factors 524,1723 . The biggest common factor number is the GCF number.
So the greatest common factor 524,1723 is 1.

Lets's calculate LCM of 30,292

2 30, 292
15, 146

∴ So the LCM of the given numbers is 2 x 15 x 146 = 4380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4380

Therefore, the GCF of Fractions 524/30,1723/292 is 1/4380

Least Common Multiple of 30,292 with GCF Formula

Least Common Multiple of 30,292 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 30,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,292) = 2

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

GCF(30,292) x common factors =2 x 1 = 2

LCM(30,292) = ( 30 × 292 ) / 2

LCM(30,292) = 8760 / 2

LCM(30,292) = 4380


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 524/30, 1723/292

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 524/30, 1723/292?

Answer: GCF of Numerators as per given numbers 524/30, 1723/292 is

GCF of Numerators i.e. for 524,1723 is 1

LCM of denominators i.e. for 30,292 is 4380.

Thus, GCF of Fractions is 1/4380.Finally, GCF of Fractions for 524/30, 1723/292 is 1/4380.