Greatest Common Factor of 68/78, 53/99, 58/63, 819/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/78, 53/99, 58/63, 819/78

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 68/78,53/99,58/63,819/78

Given fractions are 68/78,53/99,58/63,819/78

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 68,53,58,819

Greatest Common Factor of Numerators i.e. GCF of 68,53,58,819 is 1 .

LCM of Denominators means LCM of 78,99,63,78 as per the given fractions.

LCM of 78,99,63,78 is 18018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,53,58,819

GCF of Fractions 68/78,53/99,58/63,819/78 is 1/18018

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

Greatest Common Factor of 68,53,58,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,53,58,819 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

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

Greatest Common Factor

We found the factors 68,53,58,819 . The biggest common factor number is the GCF number.
So the greatest common factor 68,53,58,819 is 1.

Lets's calculate LCM of 78,99,63,78

2 78, 99, 63, 78
3 39, 99, 63, 39
3 13, 33, 21, 13
13 13, 11, 7, 13
1, 11, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 1 x 11 x 7 x 1 = 18018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18018

Therefore, the GCF of Fractions 68/78,53/99,58/63,819/78 is 1/18018

Least Common Multiple of 78,99,63,78 with GCF Formula

Least Common Multiple of 78,99,63,78 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 78,99,63,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,99,63,78) = 3

common factors(in case of two or more numbers have common factors) = 702

GCF(78,99,63,78) x common factors =3 x 702 = 2106

LCM(78,99,63,78) = ( 78 × 99 × 63 × 78 ) / 2106

LCM(78,99,63,78) = 37945908 / 2106

LCM(78,99,63,78) = 18018


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 68/78, 53/99, 58/63, 819/78

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 68/78, 53/99, 58/63, 819/78?

Answer: GCF of Numerators as per given numbers 68/78, 53/99, 58/63, 819/78 is

GCF of Numerators i.e. for 68,53,58,819 is 1

LCM of denominators i.e. for 78,99,63,78 is 18018.

Thus, GCF of Fractions is 1/18018.Finally, GCF of Fractions for 68/78, 53/99, 58/63, 819/78 is 1/18018.