Greatest Common Factor of 819/381, 894/421, 847/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/381, 894/421, 847/802

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 819/381,894/421,847/802

Given fractions are 819/381,894/421,847/802

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 819,894,847

Greatest Common Factor of Numerators i.e. GCF of 819,894,847 is 1 .

LCM of Denominators means LCM of 381,421,802 as per the given fractions.

LCM of 381,421,802 is 128641602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,894,847

GCF of Fractions 819/381,894/421,847/802 is 1/128641602

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

Greatest Common Factor of 819,894,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,894,847 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 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 819,894,847 . The biggest common factor number is the GCF number.
So the greatest common factor 819,894,847 is 1.

Lets's calculate LCM of 381,421,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 128641602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128641602

Therefore, the GCF of Fractions 819/381,894/421,847/802 is 1/128641602

Least Common Multiple of 381,421,802 with GCF Formula

Least Common Multiple of 381,421,802 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 381,421,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,421,802) = 1

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

GCF(381,421,802) x common factors =1 x 1 = 1

LCM(381,421,802) = ( 381 × 421 × 802 ) / 1

LCM(381,421,802) = 128641602 / 1

LCM(381,421,802) = 128641602


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 819/381, 894/421, 847/802

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 819/381, 894/421, 847/802?

Answer: GCF of Numerators as per given numbers 819/381, 894/421, 847/802 is

GCF of Numerators i.e. for 819,894,847 is 1

LCM of denominators i.e. for 381,421,802 is 128641602.

Thus, GCF of Fractions is 1/128641602.Finally, GCF of Fractions for 819/381, 894/421, 847/802 is 1/128641602.