Greatest Common Factor of 9024/517, 5996/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9024/517, 5996/785

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 9024/517,5996/785

Given fractions are 9024/517,5996/785

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 9024,5996

Greatest Common Factor of Numerators i.e. GCF of 9024,5996 is 4 .

LCM of Denominators means LCM of 517,785 as per the given fractions.

LCM of 517,785 is 405845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9024,5996

GCF of Fractions 9024/517,5996/785 is 4/405845

2 9024, 5996
2 4512, 2998
2256, 1499

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9024,5996 By Matching Biggest Common Factor Method

Greatest Common Factor of 9024,5996 By Matching Biggest Common Factor Method

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1,2,4,1499,2998,5996

Greatest Common Factor

We found the factors 9024,5996 . The biggest common factor number is the GCF number.
So the greatest common factor 9024,5996 is 4.

Lets's calculate LCM of 517,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 405845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/405845

Therefore, the GCF of Fractions 9024/517,5996/785 is 4/405845

Least Common Multiple of 517,785 with GCF Formula

Least Common Multiple of 517,785 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 517,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,785) = 1

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

GCF(517,785) x common factors =1 x 1 = 1

LCM(517,785) = ( 517 × 785 ) / 1

LCM(517,785) = 405845 / 1

LCM(517,785) = 405845


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 9024/517, 5996/785

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 9024/517, 5996/785?

Answer: GCF of Numerators as per given numbers 9024/517, 5996/785 is

GCF of Numerators i.e. for 9024,5996 is 4

LCM of denominators i.e. for 517,785 is 405845.

Thus, GCF of Fractions is 4/405845.Finally, GCF of Fractions for 9024/517, 5996/785 is 4/405845.