Greatest Common Factor of 1029/59, 1361/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1029/59, 1361/273

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 1029/59,1361/273

Given fractions are 1029/59,1361/273

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 1029,1361

Greatest Common Factor of Numerators i.e. GCF of 1029,1361 is 1 .

LCM of Denominators means LCM of 59,273 as per the given fractions.

LCM of 59,273 is 16107 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1029,1361

GCF of Fractions 1029/59,1361/273 is 1/16107

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

Greatest Common Factor of 1029,1361 By Matching Biggest Common Factor Method

Greatest Common Factor of 1029,1361 By Matching Biggest Common Factor Method

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1,3,7,21,49,147,343,1029

Factors of 1361

List of positive integer factors of 1361 that divides 1361 without a remainder.

1,1361

Greatest Common Factor

We found the factors 1029,1361 . The biggest common factor number is the GCF number.
So the greatest common factor 1029,1361 is 1.

Lets's calculate LCM of 59,273

Given numbers has no common factors except 1. So, there LCM is their product i.e 16107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16107

Therefore, the GCF of Fractions 1029/59,1361/273 is 1/16107

Least Common Multiple of 59,273 with GCF Formula

Least Common Multiple of 59,273 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 59,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,273) = 1

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

GCF(59,273) x common factors =1 x 1 = 1

LCM(59,273) = ( 59 × 273 ) / 1

LCM(59,273) = 16107 / 1

LCM(59,273) = 16107


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 1029/59, 1361/273

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 1029/59, 1361/273?

Answer: GCF of Numerators as per given numbers 1029/59, 1361/273 is

GCF of Numerators i.e. for 1029,1361 is 1

LCM of denominators i.e. for 59,273 is 16107.

Thus, GCF of Fractions is 1/16107.Finally, GCF of Fractions for 1029/59, 1361/273 is 1/16107.