Greatest Common Factor of 53/72, 45/19, 447/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/72, 45/19, 447/789

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 53/72,45/19,447/789

Given fractions are 53/72,45/19,447/789

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 53,45,447

Greatest Common Factor of Numerators i.e. GCF of 53,45,447 is 1 .

LCM of Denominators means LCM of 72,19,789 as per the given fractions.

LCM of 72,19,789 is 359784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,45,447

GCF of Fractions 53/72,45/19,447/789 is 1/359784

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

Greatest Common Factor of 53,45,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,45,447 By Matching Biggest Common Factor Method

Factors of 53

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

1,53

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 53,45,447 . The biggest common factor number is the GCF number.
So the greatest common factor 53,45,447 is 1.

Lets's calculate LCM of 72,19,789

3 72, 19, 789
24, 19, 263

∴ So the LCM of the given numbers is 3 x 24 x 19 x 263 = 359784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359784

Therefore, the GCF of Fractions 53/72,45/19,447/789 is 1/359784

Least Common Multiple of 72,19,789 with GCF Formula

Least Common Multiple of 72,19,789 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 72,19,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,19,789) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(72,19,789) x common factors =1 x 3 = 3

LCM(72,19,789) = ( 72 × 19 × 789 ) / 3

LCM(72,19,789) = 1079352 / 3

LCM(72,19,789) = 359784


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 53/72, 45/19, 447/789

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 53/72, 45/19, 447/789?

Answer: GCF of Numerators as per given numbers 53/72, 45/19, 447/789 is

GCF of Numerators i.e. for 53,45,447 is 1

LCM of denominators i.e. for 72,19,789 is 359784.

Thus, GCF of Fractions is 1/359784.Finally, GCF of Fractions for 53/72, 45/19, 447/789 is 1/359784.