Greatest Common Factor of 322/34, 302/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 322/34, 302/460

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 322/34,302/460

Given fractions are 322/34,302/460

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 322,302

Greatest Common Factor of Numerators i.e. GCF of 322,302 is 2 .

LCM of Denominators means LCM of 34,460 as per the given fractions.

LCM of 34,460 is 7820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 322,302

GCF of Fractions 322/34,302/460 is 2/7820

2 322, 302
161, 151

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

Greatest Common Factor of 322,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,302 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 322,302 . The biggest common factor number is the GCF number.
So the greatest common factor 322,302 is 2.

Lets's calculate LCM of 34,460

2 34, 460
17, 230

∴ So the LCM of the given numbers is 2 x 17 x 230 = 7820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7820

Therefore, the GCF of Fractions 322/34,302/460 is 2/7820

Least Common Multiple of 34,460 with GCF Formula

Least Common Multiple of 34,460 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 34,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,460) = 2

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

GCF(34,460) x common factors =2 x 1 = 2

LCM(34,460) = ( 34 × 460 ) / 2

LCM(34,460) = 15640 / 2

LCM(34,460) = 7820


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 322/34, 302/460

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 322/34, 302/460?

Answer: GCF of Numerators as per given numbers 322/34, 302/460 is

GCF of Numerators i.e. for 322,302 is 2

LCM of denominators i.e. for 34,460 is 7820.

Thus, GCF of Fractions is 2/7820.Finally, GCF of Fractions for 322/34, 302/460 is 2/7820.