Greatest Common Factor of 432/359, 5888/6286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/359, 5888/6286

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 432/359,5888/6286

Given fractions are 432/359,5888/6286

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 432,5888

Greatest Common Factor of Numerators i.e. GCF of 432,5888 is 16 .

LCM of Denominators means LCM of 359,6286 as per the given fractions.

LCM of 359,6286 is 2256674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,5888

GCF of Fractions 432/359,5888/6286 is 16/2256674

2 432, 5888
2 216, 2944
2 108, 1472
2 54, 736
27, 368

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 432,5888 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,5888 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 5888

List of positive integer factors of 5888 that divides 5888 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888

Greatest Common Factor

We found the factors 432,5888 . The biggest common factor number is the GCF number.
So the greatest common factor 432,5888 is 16.

Lets's calculate LCM of 359,6286

Given numbers has no common factors except 1. So, there LCM is their product i.e 2256674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2256674

Therefore, the GCF of Fractions 432/359,5888/6286 is 16/2256674

Least Common Multiple of 359,6286 with GCF Formula

Least Common Multiple of 359,6286 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 359,6286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,6286) = 1

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

GCF(359,6286) x common factors =1 x 1 = 1

LCM(359,6286) = ( 359 × 6286 ) / 1

LCM(359,6286) = 2256674 / 1

LCM(359,6286) = 2256674


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 432/359, 5888/6286

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 432/359, 5888/6286?

Answer: GCF of Numerators as per given numbers 432/359, 5888/6286 is

GCF of Numerators i.e. for 432,5888 is 16

LCM of denominators i.e. for 359,6286 is 2256674.

Thus, GCF of Fractions is 16/2256674.Finally, GCF of Fractions for 432/359, 5888/6286 is 16/2256674.