Greatest Common Factor of 3847/46, 9362/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3847/46, 9362/328

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 3847/46,9362/328

Given fractions are 3847/46,9362/328

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 3847,9362

Greatest Common Factor of Numerators i.e. GCF of 3847,9362 is 1 .

LCM of Denominators means LCM of 46,328 as per the given fractions.

LCM of 46,328 is 7544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3847,9362

GCF of Fractions 3847/46,9362/328 is 1/7544

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

Greatest Common Factor of 3847,9362 By Matching Biggest Common Factor Method

Greatest Common Factor of 3847,9362 By Matching Biggest Common Factor Method

Factors of 3847

List of positive integer factors of 3847 that divides 3847 without a remainder.

1,3847

Factors of 9362

List of positive integer factors of 9362 that divides 9362 without a remainder.

1,2,31,62,151,302,4681,9362

Greatest Common Factor

We found the factors 3847,9362 . The biggest common factor number is the GCF number.
So the greatest common factor 3847,9362 is 1.

Lets's calculate LCM of 46,328

2 46, 328
23, 164

∴ So the LCM of the given numbers is 2 x 23 x 164 = 7544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7544

Therefore, the GCF of Fractions 3847/46,9362/328 is 1/7544

Least Common Multiple of 46,328 with GCF Formula

Least Common Multiple of 46,328 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 46,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,328) = 2

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

GCF(46,328) x common factors =2 x 1 = 2

LCM(46,328) = ( 46 × 328 ) / 2

LCM(46,328) = 15088 / 2

LCM(46,328) = 7544


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 3847/46, 9362/328

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 3847/46, 9362/328?

Answer: GCF of Numerators as per given numbers 3847/46, 9362/328 is

GCF of Numerators i.e. for 3847,9362 is 1

LCM of denominators i.e. for 46,328 is 7544.

Thus, GCF of Fractions is 1/7544.Finally, GCF of Fractions for 3847/46, 9362/328 is 1/7544.