Greatest Common Factor of 238/44, 812/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/44, 812/598

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 238/44,812/598

Given fractions are 238/44,812/598

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 238,812

Greatest Common Factor of Numerators i.e. GCF of 238,812 is 14 .

LCM of Denominators means LCM of 44,598 as per the given fractions.

LCM of 44,598 is 13156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,812

GCF of Fractions 238/44,812/598 is 14/13156

2 238, 812
7 119, 406
17, 58

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 238,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,812 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 238,812 . The biggest common factor number is the GCF number.
So the greatest common factor 238,812 is 14.

Lets's calculate LCM of 44,598

2 44, 598
22, 299

∴ So the LCM of the given numbers is 2 x 22 x 299 = 13156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/13156

Therefore, the GCF of Fractions 238/44,812/598 is 14/13156

Least Common Multiple of 44,598 with GCF Formula

Least Common Multiple of 44,598 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 44,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,598) = 2

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

GCF(44,598) x common factors =2 x 1 = 2

LCM(44,598) = ( 44 × 598 ) / 2

LCM(44,598) = 26312 / 2

LCM(44,598) = 13156


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 238/44, 812/598

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 238/44, 812/598?

Answer: GCF of Numerators as per given numbers 238/44, 812/598 is

GCF of Numerators i.e. for 238,812 is 14

LCM of denominators i.e. for 44,598 is 13156.

Thus, GCF of Fractions is 14/13156.Finally, GCF of Fractions for 238/44, 812/598 is 14/13156.