Greatest Common Factor of 4582/646, 5238/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4582/646, 5238/440

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 4582/646,5238/440

Given fractions are 4582/646,5238/440

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 4582,5238

Greatest Common Factor of Numerators i.e. GCF of 4582,5238 is 2 .

LCM of Denominators means LCM of 646,440 as per the given fractions.

LCM of 646,440 is 142120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4582,5238

GCF of Fractions 4582/646,5238/440 is 2/142120

2 4582, 5238
2291, 2619

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

Greatest Common Factor of 4582,5238 By Matching Biggest Common Factor Method

Greatest Common Factor of 4582,5238 By Matching Biggest Common Factor Method

Factors of 4582

List of positive integer factors of 4582 that divides 4582 without a remainder.

1,2,29,58,79,158,2291,4582

Factors of 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238

Greatest Common Factor

We found the factors 4582,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 4582,5238 is 2.

Lets's calculate LCM of 646,440

2 646, 440
323, 220

∴ So the LCM of the given numbers is 2 x 323 x 220 = 142120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/142120

Therefore, the GCF of Fractions 4582/646,5238/440 is 2/142120

Least Common Multiple of 646,440 with GCF Formula

Least Common Multiple of 646,440 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 646,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,440) = 2

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

GCF(646,440) x common factors =2 x 1 = 2

LCM(646,440) = ( 646 × 440 ) / 2

LCM(646,440) = 284240 / 2

LCM(646,440) = 142120


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 4582/646, 5238/440

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 4582/646, 5238/440?

Answer: GCF of Numerators as per given numbers 4582/646, 5238/440 is

GCF of Numerators i.e. for 4582,5238 is 2

LCM of denominators i.e. for 646,440 is 142120.

Thus, GCF of Fractions is 2/142120.Finally, GCF of Fractions for 4582/646, 5238/440 is 2/142120.