Greatest Common Factor of 243/76, 783/53, 763/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/76, 783/53, 763/990

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 243/76,783/53,763/990

Given fractions are 243/76,783/53,763/990

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 243,783,763

Greatest Common Factor of Numerators i.e. GCF of 243,783,763 is 1 .

LCM of Denominators means LCM of 76,53,990 as per the given fractions.

LCM of 76,53,990 is 1993860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,783,763

GCF of Fractions 243/76,783/53,763/990 is 1/1993860

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

Greatest Common Factor of 243,783,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,783,763 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 243,783,763 . The biggest common factor number is the GCF number.
So the greatest common factor 243,783,763 is 1.

Lets's calculate LCM of 76,53,990

2 76, 53, 990
38, 53, 495

∴ So the LCM of the given numbers is 2 x 38 x 53 x 495 = 1993860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1993860

Therefore, the GCF of Fractions 243/76,783/53,763/990 is 1/1993860

Least Common Multiple of 76,53,990 with GCF Formula

Least Common Multiple of 76,53,990 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 76,53,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,53,990) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,53,990) x common factors =1 x 2 = 2

LCM(76,53,990) = ( 76 × 53 × 990 ) / 2

LCM(76,53,990) = 3987720 / 2

LCM(76,53,990) = 1993860


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 243/76, 783/53, 763/990

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 243/76, 783/53, 763/990?

Answer: GCF of Numerators as per given numbers 243/76, 783/53, 763/990 is

GCF of Numerators i.e. for 243,783,763 is 1

LCM of denominators i.e. for 76,53,990 is 1993860.

Thus, GCF of Fractions is 1/1993860.Finally, GCF of Fractions for 243/76, 783/53, 763/990 is 1/1993860.