Greatest Common Factor of 9843/652, 4671/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9843/652, 4671/481

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 9843/652,4671/481

Given fractions are 9843/652,4671/481

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 9843,4671

Greatest Common Factor of Numerators i.e. GCF of 9843,4671 is 3 .

LCM of Denominators means LCM of 652,481 as per the given fractions.

LCM of 652,481 is 313612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9843,4671

GCF of Fractions 9843/652,4671/481 is 3/313612

3 9843, 4671
3281, 1557

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9843,4671 By Matching Biggest Common Factor Method

Greatest Common Factor of 9843,4671 By Matching Biggest Common Factor Method

Factors of 9843

List of positive integer factors of 9843 that divides 9843 without a remainder.

1,3,17,51,193,579,3281,9843

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1,3,9,27,173,519,1557,4671

Greatest Common Factor

We found the factors 9843,4671 . The biggest common factor number is the GCF number.
So the greatest common factor 9843,4671 is 3.

Lets's calculate LCM of 652,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 313612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/313612

Therefore, the GCF of Fractions 9843/652,4671/481 is 3/313612

Least Common Multiple of 652,481 with GCF Formula

Least Common Multiple of 652,481 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 652,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,481) = 1

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

GCF(652,481) x common factors =1 x 1 = 1

LCM(652,481) = ( 652 × 481 ) / 1

LCM(652,481) = 313612 / 1

LCM(652,481) = 313612


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 9843/652, 4671/481

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 9843/652, 4671/481?

Answer: GCF of Numerators as per given numbers 9843/652, 4671/481 is

GCF of Numerators i.e. for 9843,4671 is 3

LCM of denominators i.e. for 652,481 is 313612.

Thus, GCF of Fractions is 3/313612.Finally, GCF of Fractions for 9843/652, 4671/481 is 3/313612.