Greatest Common Factor of 8000/486, 9024/6576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8000/486, 9024/6576

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 8000/486,9024/6576

Given fractions are 8000/486,9024/6576

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 8000,9024

Greatest Common Factor of Numerators i.e. GCF of 8000,9024 is 64 .

LCM of Denominators means LCM of 486,6576 as per the given fractions.

LCM of 486,6576 is 532656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8000,9024

GCF of Fractions 8000/486,9024/6576 is 64/532656

2 8000, 9024
2 4000, 4512
2 2000, 2256
2 1000, 1128
2 500, 564
2 250, 282
125, 141

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Greatest Common Factor of 8000,9024 By Matching Biggest Common Factor Method

Greatest Common Factor of 8000,9024 By Matching Biggest Common Factor Method

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000

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

Greatest Common Factor

We found the factors 8000,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 8000,9024 is 64.

Lets's calculate LCM of 486,6576

2 486, 6576
3 243, 3288
81, 1096

∴ So the LCM of the given numbers is 2 x 3 x 81 x 1096 = 532656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/532656

Therefore, the GCF of Fractions 8000/486,9024/6576 is 64/532656

Least Common Multiple of 486,6576 with GCF Formula

Least Common Multiple of 486,6576 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 486,6576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,6576) = 6

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

GCF(486,6576) x common factors =6 x 1 = 6

LCM(486,6576) = ( 486 × 6576 ) / 6

LCM(486,6576) = 3195936 / 6

LCM(486,6576) = 532656


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 8000/486, 9024/6576

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 8000/486, 9024/6576?

Answer: GCF of Numerators as per given numbers 8000/486, 9024/6576 is

GCF of Numerators i.e. for 8000,9024 is 64

LCM of denominators i.e. for 486,6576 is 532656.

Thus, GCF of Fractions is 64/532656.Finally, GCF of Fractions for 8000/486, 9024/6576 is 64/532656.