Greatest Common Factor of 432/433, 992/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/433, 992/845

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 432/433,992/845

Given fractions are 432/433,992/845

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 432,992

Greatest Common Factor of Numerators i.e. GCF of 432,992 is 16 .

LCM of Denominators means LCM of 433,845 as per the given fractions.

LCM of 433,845 is 365885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,992

GCF of Fractions 432/433,992/845 is 16/365885

2 432, 992
2 216, 496
2 108, 248
2 54, 124
27, 62

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

Greatest Common Factor of 432,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,992 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 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 432,992 . The biggest common factor number is the GCF number.
So the greatest common factor 432,992 is 16.

Lets's calculate LCM of 433,845

Given numbers has no common factors except 1. So, there LCM is their product i.e 365885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/365885

Therefore, the GCF of Fractions 432/433,992/845 is 16/365885

Least Common Multiple of 433,845 with GCF Formula

Least Common Multiple of 433,845 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 433,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,845) = 1

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

GCF(433,845) x common factors =1 x 1 = 1

LCM(433,845) = ( 433 × 845 ) / 1

LCM(433,845) = 365885 / 1

LCM(433,845) = 365885


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 432/433, 992/845

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 432/433, 992/845?

Answer: GCF of Numerators as per given numbers 432/433, 992/845 is

GCF of Numerators i.e. for 432,992 is 16

LCM of denominators i.e. for 433,845 is 365885.

Thus, GCF of Fractions is 16/365885.Finally, GCF of Fractions for 432/433, 992/845 is 16/365885.