Greatest Common Factor of 232/71, 338/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 232/71, 338/466

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 232/71,338/466

Given fractions are 232/71,338/466

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 232,338

Greatest Common Factor of Numerators i.e. GCF of 232,338 is 2 .

LCM of Denominators means LCM of 71,466 as per the given fractions.

LCM of 71,466 is 33086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 232,338

GCF of Fractions 232/71,338/466 is 2/33086

2 232, 338
116, 169

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

Greatest Common Factor of 232,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,338 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 232,338 . The biggest common factor number is the GCF number.
So the greatest common factor 232,338 is 2.

Lets's calculate LCM of 71,466

Given numbers has no common factors except 1. So, there LCM is their product i.e 33086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33086

Therefore, the GCF of Fractions 232/71,338/466 is 2/33086

Least Common Multiple of 71,466 with GCF Formula

Least Common Multiple of 71,466 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 71,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,466) = 1

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

GCF(71,466) x common factors =1 x 1 = 1

LCM(71,466) = ( 71 × 466 ) / 1

LCM(71,466) = 33086 / 1

LCM(71,466) = 33086


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 232/71, 338/466

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 232/71, 338/466?

Answer: GCF of Numerators as per given numbers 232/71, 338/466 is

GCF of Numerators i.e. for 232,338 is 2

LCM of denominators i.e. for 71,466 is 33086.

Thus, GCF of Fractions is 2/33086.Finally, GCF of Fractions for 232/71, 338/466 is 2/33086.