Greatest Common Factor of 9783/611, 4293/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9783/611, 4293/282

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 9783/611,4293/282

Given fractions are 9783/611,4293/282

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 9783,4293

Greatest Common Factor of Numerators i.e. GCF of 9783,4293 is 9 .

LCM of Denominators means LCM of 611,282 as per the given fractions.

LCM of 611,282 is 3666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9783,4293

GCF of Fractions 9783/611,4293/282 is 9/3666

3 9783, 4293
3 3261, 1431
1087, 477

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9783,4293 By Matching Biggest Common Factor Method

Greatest Common Factor of 9783,4293 By Matching Biggest Common Factor Method

Factors of 9783

List of positive integer factors of 9783 that divides 9783 without a remainder.

1,3,9,1087,3261,9783

Factors of 4293

List of positive integer factors of 4293 that divides 4293 without a remainder.

1,3,9,27,53,81,159,477,1431,4293

Greatest Common Factor

We found the factors 9783,4293 . The biggest common factor number is the GCF number.
So the greatest common factor 9783,4293 is 9.

Lets's calculate LCM of 611,282

47 611, 282
13, 6

∴ So the LCM of the given numbers is 47 x 13 x 6 = 3666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3666

Therefore, the GCF of Fractions 9783/611,4293/282 is 9/3666

Least Common Multiple of 611,282 with GCF Formula

Least Common Multiple of 611,282 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 611,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,282) = 47

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

GCF(611,282) x common factors =47 x 1 = 47

LCM(611,282) = ( 611 × 282 ) / 47

LCM(611,282) = 172302 / 47

LCM(611,282) = 3666


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 9783/611, 4293/282

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 9783/611, 4293/282?

Answer: GCF of Numerators as per given numbers 9783/611, 4293/282 is

GCF of Numerators i.e. for 9783,4293 is 9

LCM of denominators i.e. for 611,282 is 3666.

Thus, GCF of Fractions is 9/3666.Finally, GCF of Fractions for 9783/611, 4293/282 is 9/3666.