Greatest Common Factor of 7993/429, 4122/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7993/429, 4122/590

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 7993/429,4122/590

Given fractions are 7993/429,4122/590

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 7993,4122

Greatest Common Factor of Numerators i.e. GCF of 7993,4122 is 1 .

LCM of Denominators means LCM of 429,590 as per the given fractions.

LCM of 429,590 is 253110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7993,4122

GCF of Fractions 7993/429,4122/590 is 1/253110

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

Greatest Common Factor of 7993,4122 By Matching Biggest Common Factor Method

Greatest Common Factor of 7993,4122 By Matching Biggest Common Factor Method

Factors of 7993

List of positive integer factors of 7993 that divides 7993 without a remainder.

1,7993

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Greatest Common Factor

We found the factors 7993,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 7993,4122 is 1.

Lets's calculate LCM of 429,590

Given numbers has no common factors except 1. So, there LCM is their product i.e 253110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253110

Therefore, the GCF of Fractions 7993/429,4122/590 is 1/253110

Least Common Multiple of 429,590 with GCF Formula

Least Common Multiple of 429,590 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 429,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,590) = 1

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

GCF(429,590) x common factors =1 x 1 = 1

LCM(429,590) = ( 429 × 590 ) / 1

LCM(429,590) = 253110 / 1

LCM(429,590) = 253110


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 7993/429, 4122/590

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 7993/429, 4122/590?

Answer: GCF of Numerators as per given numbers 7993/429, 4122/590 is

GCF of Numerators i.e. for 7993,4122 is 1

LCM of denominators i.e. for 429,590 is 253110.

Thus, GCF of Fractions is 1/253110.Finally, GCF of Fractions for 7993/429, 4122/590 is 1/253110.