Greatest Common Factor of 143/493, 8592/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 143/493, 8592/232

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 143/493,8592/232

Given fractions are 143/493,8592/232

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 143,8592

Greatest Common Factor of Numerators i.e. GCF of 143,8592 is 1 .

LCM of Denominators means LCM of 493,232 as per the given fractions.

LCM of 493,232 is 3944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 143,8592

GCF of Fractions 143/493,8592/232 is 1/3944

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 143,8592 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,8592 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 8592

List of positive integer factors of 8592 that divides 8592 without a remainder.

1,2,3,4,6,8,12,16,24,48,179,358,537,716,1074,1432,2148,2864,4296,8592

Greatest Common Factor

We found the factors 143,8592 . The biggest common factor number is the GCF number.
So the greatest common factor 143,8592 is 1.

Lets's calculate LCM of 493,232

29 493, 232
17, 8

∴ So the LCM of the given numbers is 29 x 17 x 8 = 3944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3944

Therefore, the GCF of Fractions 143/493,8592/232 is 1/3944

Least Common Multiple of 493,232 with GCF Formula

Least Common Multiple of 493,232 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 493,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,232) = 29

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

GCF(493,232) x common factors =29 x 1 = 29

LCM(493,232) = ( 493 × 232 ) / 29

LCM(493,232) = 114376 / 29

LCM(493,232) = 3944


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 143/493, 8592/232

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 143/493, 8592/232?

Answer: GCF of Numerators as per given numbers 143/493, 8592/232 is

GCF of Numerators i.e. for 143,8592 is 1

LCM of denominators i.e. for 493,232 is 3944.

Thus, GCF of Fractions is 1/3944.Finally, GCF of Fractions for 143/493, 8592/232 is 1/3944.