Greatest Common Factor of 302/926, 3689/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 302/926, 3689/230

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 302/926,3689/230

Given fractions are 302/926,3689/230

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 302,3689

Greatest Common Factor of Numerators i.e. GCF of 302,3689 is 1 .

LCM of Denominators means LCM of 926,230 as per the given fractions.

LCM of 926,230 is 106490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 302,3689

GCF of Fractions 302/926,3689/230 is 1/106490

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 302,3689 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,3689 By Matching Biggest Common Factor Method

Factors of 302

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

1,2,151,302

Factors of 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1,7,17,31,119,217,527,3689

Greatest Common Factor

We found the factors 302,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 302,3689 is 1.

Lets's calculate LCM of 926,230

2 926, 230
463, 115

∴ So the LCM of the given numbers is 2 x 463 x 115 = 106490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106490

Therefore, the GCF of Fractions 302/926,3689/230 is 1/106490

Least Common Multiple of 926,230 with GCF Formula

Least Common Multiple of 926,230 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 926,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,230) = 2

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

GCF(926,230) x common factors =2 x 1 = 2

LCM(926,230) = ( 926 × 230 ) / 2

LCM(926,230) = 212980 / 2

LCM(926,230) = 106490


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 302/926, 3689/230

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 302/926, 3689/230?

Answer: GCF of Numerators as per given numbers 302/926, 3689/230 is

GCF of Numerators i.e. for 302,3689 is 1

LCM of denominators i.e. for 926,230 is 106490.

Thus, GCF of Fractions is 1/106490.Finally, GCF of Fractions for 302/926, 3689/230 is 1/106490.