Greatest Common Factor of 232/68, 314/9265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 232/68, 314/9265

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 232/68,314/9265

Given fractions are 232/68,314/9265

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 232,314

Greatest Common Factor of Numerators i.e. GCF of 232,314 is 2 .

LCM of Denominators means LCM of 68,9265 as per the given fractions.

LCM of 68,9265 is 37060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 232,314

GCF of Fractions 232/68,314/9265 is 2/37060

2 232, 314
116, 157

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

Greatest Common Factor of 232,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,314 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 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 232,314 . The biggest common factor number is the GCF number.
So the greatest common factor 232,314 is 2.

Lets's calculate LCM of 68,9265

17 68, 9265
4, 545

∴ So the LCM of the given numbers is 17 x 4 x 545 = 37060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37060

Therefore, the GCF of Fractions 232/68,314/9265 is 2/37060

Least Common Multiple of 68,9265 with GCF Formula

Least Common Multiple of 68,9265 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 68,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,9265) = 17

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

GCF(68,9265) x common factors =17 x 1 = 17

LCM(68,9265) = ( 68 × 9265 ) / 17

LCM(68,9265) = 630020 / 17

LCM(68,9265) = 37060


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 232/68, 314/9265

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 232/68, 314/9265?

Answer: GCF of Numerators as per given numbers 232/68, 314/9265 is

GCF of Numerators i.e. for 232,314 is 2

LCM of denominators i.e. for 68,9265 is 37060.

Thus, GCF of Fractions is 2/37060.Finally, GCF of Fractions for 232/68, 314/9265 is 2/37060.