Greatest Common Factor of 424/28, 597/51, 514/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/28, 597/51, 514/73

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 424/28,597/51,514/73

Given fractions are 424/28,597/51,514/73

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 424,597,514

Greatest Common Factor of Numerators i.e. GCF of 424,597,514 is 1 .

LCM of Denominators means LCM of 28,51,73 as per the given fractions.

LCM of 28,51,73 is 104244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,597,514

GCF of Fractions 424/28,597/51,514/73 is 1/104244

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

Greatest Common Factor of 424,597,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,597,514 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 424,597,514 . The biggest common factor number is the GCF number.
So the greatest common factor 424,597,514 is 1.

Lets's calculate LCM of 28,51,73

Given numbers has no common factors except 1. So, there LCM is their product i.e 104244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104244

Therefore, the GCF of Fractions 424/28,597/51,514/73 is 1/104244

Least Common Multiple of 28,51,73 with GCF Formula

Least Common Multiple of 28,51,73 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 28,51,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,51,73) = 1

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

GCF(28,51,73) x common factors =1 x 1 = 1

LCM(28,51,73) = ( 28 × 51 × 73 ) / 1

LCM(28,51,73) = 104244 / 1

LCM(28,51,73) = 104244


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 424/28, 597/51, 514/73

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 424/28, 597/51, 514/73?

Answer: GCF of Numerators as per given numbers 424/28, 597/51, 514/73 is

GCF of Numerators i.e. for 424,597,514 is 1

LCM of denominators i.e. for 28,51,73 is 104244.

Thus, GCF of Fractions is 1/104244.Finally, GCF of Fractions for 424/28, 597/51, 514/73 is 1/104244.