Greatest Common Factor of 729/51, 360/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 729/51, 360/310

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 729/51,360/310

Given fractions are 729/51,360/310

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 729,360

Greatest Common Factor of Numerators i.e. GCF of 729,360 is 9 .

LCM of Denominators means LCM of 51,310 as per the given fractions.

LCM of 51,310 is 15810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 729,360

GCF of Fractions 729/51,360/310 is 9/15810

3 729, 360
3 243, 120
81, 40

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 729,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,360 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 729,360 . The biggest common factor number is the GCF number.
So the greatest common factor 729,360 is 9.

Lets's calculate LCM of 51,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 15810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/15810

Therefore, the GCF of Fractions 729/51,360/310 is 9/15810

Least Common Multiple of 51,310 with GCF Formula

Least Common Multiple of 51,310 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 51,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,310) = 1

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

GCF(51,310) x common factors =1 x 1 = 1

LCM(51,310) = ( 51 × 310 ) / 1

LCM(51,310) = 15810 / 1

LCM(51,310) = 15810


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 729/51, 360/310

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 729/51, 360/310?

Answer: GCF of Numerators as per given numbers 729/51, 360/310 is

GCF of Numerators i.e. for 729,360 is 9

LCM of denominators i.e. for 51,310 is 15810.

Thus, GCF of Fractions is 9/15810.Finally, GCF of Fractions for 729/51, 360/310 is 9/15810.