Greatest Common Factor of 819/80, 693/9555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/80, 693/9555

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 819/80,693/9555

Given fractions are 819/80,693/9555

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 819,693

Greatest Common Factor of Numerators i.e. GCF of 819,693 is 63 .

LCM of Denominators means LCM of 80,9555 as per the given fractions.

LCM of 80,9555 is 152880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,693

GCF of Fractions 819/80,693/9555 is 63/152880

3 819, 693
3 273, 231
7 91, 77
13, 11

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Greatest Common Factor of 819,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,693 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 819,693 . The biggest common factor number is the GCF number.
So the greatest common factor 819,693 is 63.

Lets's calculate LCM of 80,9555

5 80, 9555
16, 1911

∴ So the LCM of the given numbers is 5 x 16 x 1911 = 152880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/152880

Therefore, the GCF of Fractions 819/80,693/9555 is 63/152880

Least Common Multiple of 80,9555 with GCF Formula

Least Common Multiple of 80,9555 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 80,9555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,9555) = 5

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

GCF(80,9555) x common factors =5 x 1 = 5

LCM(80,9555) = ( 80 × 9555 ) / 5

LCM(80,9555) = 764400 / 5

LCM(80,9555) = 152880


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 819/80, 693/9555

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 819/80, 693/9555?

Answer: GCF of Numerators as per given numbers 819/80, 693/9555 is

GCF of Numerators i.e. for 819,693 is 63

LCM of denominators i.e. for 80,9555 is 152880.

Thus, GCF of Fractions is 63/152880.Finally, GCF of Fractions for 819/80, 693/9555 is 63/152880.