Greatest Common Factor of 1847/462, 9118/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1847/462, 9118/734

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 1847/462,9118/734

Given fractions are 1847/462,9118/734

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 1847,9118

Greatest Common Factor of Numerators i.e. GCF of 1847,9118 is 1 .

LCM of Denominators means LCM of 462,734 as per the given fractions.

LCM of 462,734 is 169554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1847,9118

GCF of Fractions 1847/462,9118/734 is 1/169554

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

Greatest Common Factor of 1847,9118 By Matching Biggest Common Factor Method

Greatest Common Factor of 1847,9118 By Matching Biggest Common Factor Method

Factors of 1847

List of positive integer factors of 1847 that divides 1847 without a remainder.

1,1847

Factors of 9118

List of positive integer factors of 9118 that divides 9118 without a remainder.

1,2,47,94,97,194,4559,9118

Greatest Common Factor

We found the factors 1847,9118 . The biggest common factor number is the GCF number.
So the greatest common factor 1847,9118 is 1.

Lets's calculate LCM of 462,734

2 462, 734
231, 367

∴ So the LCM of the given numbers is 2 x 231 x 367 = 169554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169554

Therefore, the GCF of Fractions 1847/462,9118/734 is 1/169554

Least Common Multiple of 462,734 with GCF Formula

Least Common Multiple of 462,734 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 462,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,734) = 2

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

GCF(462,734) x common factors =2 x 1 = 2

LCM(462,734) = ( 462 × 734 ) / 2

LCM(462,734) = 339108 / 2

LCM(462,734) = 169554


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 1847/462, 9118/734

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 1847/462, 9118/734?

Answer: GCF of Numerators as per given numbers 1847/462, 9118/734 is

GCF of Numerators i.e. for 1847,9118 is 1

LCM of denominators i.e. for 462,734 is 169554.

Thus, GCF of Fractions is 1/169554.Finally, GCF of Fractions for 1847/462, 9118/734 is 1/169554.