Greatest Common Factor of 9888/406, 6016/1434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9888/406, 6016/1434

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 9888/406,6016/1434

Given fractions are 9888/406,6016/1434

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 9888,6016

Greatest Common Factor of Numerators i.e. GCF of 9888,6016 is 32 .

LCM of Denominators means LCM of 406,1434 as per the given fractions.

LCM of 406,1434 is 291102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9888,6016

GCF of Fractions 9888/406,6016/1434 is 32/291102

2 9888, 6016
2 4944, 3008
2 2472, 1504
2 1236, 752
2 618, 376
309, 188

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 9888,6016 By Matching Biggest Common Factor Method

Greatest Common Factor of 9888,6016 By Matching Biggest Common Factor Method

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888

Factors of 6016

List of positive integer factors of 6016 that divides 6016 without a remainder.

1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016

Greatest Common Factor

We found the factors 9888,6016 . The biggest common factor number is the GCF number.
So the greatest common factor 9888,6016 is 32.

Lets's calculate LCM of 406,1434

2 406, 1434
203, 717

∴ So the LCM of the given numbers is 2 x 203 x 717 = 291102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/291102

Therefore, the GCF of Fractions 9888/406,6016/1434 is 32/291102

Least Common Multiple of 406,1434 with GCF Formula

Least Common Multiple of 406,1434 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 406,1434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,1434) = 2

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

GCF(406,1434) x common factors =2 x 1 = 2

LCM(406,1434) = ( 406 × 1434 ) / 2

LCM(406,1434) = 582204 / 2

LCM(406,1434) = 291102


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 9888/406, 6016/1434

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 9888/406, 6016/1434?

Answer: GCF of Numerators as per given numbers 9888/406, 6016/1434 is

GCF of Numerators i.e. for 9888,6016 is 32

LCM of denominators i.e. for 406,1434 is 291102.

Thus, GCF of Fractions is 32/291102.Finally, GCF of Fractions for 9888/406, 6016/1434 is 32/291102.