Greatest Common Factor of 819/345, 8830/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/345, 8830/630

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 819/345,8830/630

Given fractions are 819/345,8830/630

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 819,8830

Greatest Common Factor of Numerators i.e. GCF of 819,8830 is 1 .

LCM of Denominators means LCM of 345,630 as per the given fractions.

LCM of 345,630 is 14490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,8830

GCF of Fractions 819/345,8830/630 is 1/14490

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

Greatest Common Factor of 819,8830 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,8830 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 8830

List of positive integer factors of 8830 that divides 8830 without a remainder.

1,2,5,10,883,1766,4415,8830

Greatest Common Factor

We found the factors 819,8830 . The biggest common factor number is the GCF number.
So the greatest common factor 819,8830 is 1.

Lets's calculate LCM of 345,630

3 345, 630
5 115, 210
23, 42

∴ So the LCM of the given numbers is 3 x 5 x 23 x 42 = 14490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14490

Therefore, the GCF of Fractions 819/345,8830/630 is 1/14490

Least Common Multiple of 345,630 with GCF Formula

Least Common Multiple of 345,630 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 345,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,630) = 15

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

GCF(345,630) x common factors =15 x 1 = 15

LCM(345,630) = ( 345 × 630 ) / 15

LCM(345,630) = 217350 / 15

LCM(345,630) = 14490


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 819/345, 8830/630

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 819/345, 8830/630?

Answer: GCF of Numerators as per given numbers 819/345, 8830/630 is

GCF of Numerators i.e. for 819,8830 is 1

LCM of denominators i.e. for 345,630 is 14490.

Thus, GCF of Fractions is 1/14490.Finally, GCF of Fractions for 819/345, 8830/630 is 1/14490.