Greatest Common Factor of 1846/462, 9315/6074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1846/462, 9315/6074

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 1846/462,9315/6074

Given fractions are 1846/462,9315/6074

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 1846,9315

Greatest Common Factor of Numerators i.e. GCF of 1846,9315 is 1 .

LCM of Denominators means LCM of 462,6074 as per the given fractions.

LCM of 462,6074 is 1403094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1846,9315

GCF of Fractions 1846/462,9315/6074 is 1/1403094

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

Greatest Common Factor of 1846,9315 By Matching Biggest Common Factor Method

Greatest Common Factor of 1846,9315 By Matching Biggest Common Factor Method

Factors of 1846

List of positive integer factors of 1846 that divides 1846 without a remainder.

1,2,13,26,71,142,923,1846

Factors of 9315

List of positive integer factors of 9315 that divides 9315 without a remainder.

1,3,5,9,15,23,27,45,69,81,115,135,207,345,405,621,1035,1863,3105,9315

Greatest Common Factor

We found the factors 1846,9315 . The biggest common factor number is the GCF number.
So the greatest common factor 1846,9315 is 1.

Lets's calculate LCM of 462,6074

2 462, 6074
231, 3037

∴ So the LCM of the given numbers is 2 x 231 x 3037 = 1403094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1403094

Therefore, the GCF of Fractions 1846/462,9315/6074 is 1/1403094

Least Common Multiple of 462,6074 with GCF Formula

Least Common Multiple of 462,6074 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 462,6074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,6074) = 2

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

GCF(462,6074) x common factors =2 x 1 = 2

LCM(462,6074) = ( 462 × 6074 ) / 2

LCM(462,6074) = 2806188 / 2

LCM(462,6074) = 1403094


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 1846/462, 9315/6074

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 1846/462, 9315/6074?

Answer: GCF of Numerators as per given numbers 1846/462, 9315/6074 is

GCF of Numerators i.e. for 1846,9315 is 1

LCM of denominators i.e. for 462,6074 is 1403094.

Thus, GCF of Fractions is 1/1403094.Finally, GCF of Fractions for 1846/462, 9315/6074 is 1/1403094.