Greatest Common Factor of 9285/600, 1744/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9285/600, 1744/516

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 9285/600,1744/516

Given fractions are 9285/600,1744/516

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 9285,1744

Greatest Common Factor of Numerators i.e. GCF of 9285,1744 is 1 .

LCM of Denominators means LCM of 600,516 as per the given fractions.

LCM of 600,516 is 25800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9285,1744

GCF of Fractions 9285/600,1744/516 is 1/25800

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

Greatest Common Factor of 9285,1744 By Matching Biggest Common Factor Method

Greatest Common Factor of 9285,1744 By Matching Biggest Common Factor Method

Factors of 9285

List of positive integer factors of 9285 that divides 9285 without a remainder.

1,3,5,15,619,1857,3095,9285

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Greatest Common Factor

We found the factors 9285,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 9285,1744 is 1.

Lets's calculate LCM of 600,516

2 600, 516
2 300, 258
3 150, 129
50, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 50 x 43 = 25800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25800

Therefore, the GCF of Fractions 9285/600,1744/516 is 1/25800

Least Common Multiple of 600,516 with GCF Formula

Least Common Multiple of 600,516 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 600,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,516) = 12

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

GCF(600,516) x common factors =12 x 1 = 12

LCM(600,516) = ( 600 × 516 ) / 12

LCM(600,516) = 309600 / 12

LCM(600,516) = 25800


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 9285/600, 1744/516

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 9285/600, 1744/516?

Answer: GCF of Numerators as per given numbers 9285/600, 1744/516 is

GCF of Numerators i.e. for 9285,1744 is 1

LCM of denominators i.e. for 600,516 is 25800.

Thus, GCF of Fractions is 1/25800.Finally, GCF of Fractions for 9285/600, 1744/516 is 1/25800.