Greatest Common Factor of 5992/94, 1785/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5992/94, 1785/432

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 5992/94,1785/432

Given fractions are 5992/94,1785/432

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 5992,1785

Greatest Common Factor of Numerators i.e. GCF of 5992,1785 is 7 .

LCM of Denominators means LCM of 94,432 as per the given fractions.

LCM of 94,432 is 20304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5992,1785

GCF of Fractions 5992/94,1785/432 is 7/20304

7 5992, 1785
856, 255

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5992,1785 By Matching Biggest Common Factor Method

Greatest Common Factor of 5992,1785 By Matching Biggest Common Factor Method

Factors of 5992

List of positive integer factors of 5992 that divides 5992 without a remainder.

1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Greatest Common Factor

We found the factors 5992,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 5992,1785 is 7.

Lets's calculate LCM of 94,432

2 94, 432
47, 216

∴ So the LCM of the given numbers is 2 x 47 x 216 = 20304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/20304

Therefore, the GCF of Fractions 5992/94,1785/432 is 7/20304

Least Common Multiple of 94,432 with GCF Formula

Least Common Multiple of 94,432 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 94,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,432) = 2

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

GCF(94,432) x common factors =2 x 1 = 2

LCM(94,432) = ( 94 × 432 ) / 2

LCM(94,432) = 40608 / 2

LCM(94,432) = 20304


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 5992/94, 1785/432

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 5992/94, 1785/432?

Answer: GCF of Numerators as per given numbers 5992/94, 1785/432 is

GCF of Numerators i.e. for 5992,1785 is 7

LCM of denominators i.e. for 94,432 is 20304.

Thus, GCF of Fractions is 7/20304.Finally, GCF of Fractions for 5992/94, 1785/432 is 7/20304.