Greatest Common Factor of 819/714, 745/451, 304/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/714, 745/451, 304/638

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 819/714,745/451,304/638

Given fractions are 819/714,745/451,304/638

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 819,745,304

Greatest Common Factor of Numerators i.e. GCF of 819,745,304 is 1 .

LCM of Denominators means LCM of 714,451,638 as per the given fractions.

LCM of 714,451,638 is 9338406 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,745,304

GCF of Fractions 819/714,745/451,304/638 is 1/9338406

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

Greatest Common Factor of 819,745,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,745,304 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 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 819,745,304 . The biggest common factor number is the GCF number.
So the greatest common factor 819,745,304 is 1.

Lets's calculate LCM of 714,451,638

2 714, 451, 638
11 357, 451, 319
357, 41, 29

∴ So the LCM of the given numbers is 2 x 11 x 357 x 41 x 29 = 9338406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9338406

Therefore, the GCF of Fractions 819/714,745/451,304/638 is 1/9338406

Least Common Multiple of 714,451,638 with GCF Formula

Least Common Multiple of 714,451,638 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 714,451,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,451,638) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(714,451,638) x common factors =1 x 22 = 22

LCM(714,451,638) = ( 714 × 451 × 638 ) / 22

LCM(714,451,638) = 205444932 / 22

LCM(714,451,638) = 9338406


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 819/714, 745/451, 304/638

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 819/714, 745/451, 304/638?

Answer: GCF of Numerators as per given numbers 819/714, 745/451, 304/638 is

GCF of Numerators i.e. for 819,745,304 is 1

LCM of denominators i.e. for 714,451,638 is 9338406.

Thus, GCF of Fractions is 1/9338406.Finally, GCF of Fractions for 819/714, 745/451, 304/638 is 1/9338406.