GCD of 135, 289, 860, 172 Calculator

Given Input numbers are 135, 289, 860, 172

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 135, 289, 860, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 289, 860, 172 is 1.

Therefore, GCD of numbers 135, 289, 860, 172 is 1

Given Input Data is 135, 289, 860, 172

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 289 is 17 x 17

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 172 is 2 x 2 x 43

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(135, 289) = 39015

GCD(135, 289) = ( 135 x 289 ) / 39015

GCD(135, 289) = 39015 / 39015

GCD(135, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 135, 289, 860, 172 is 1

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1. What is the GCD of 135, 289, 860, 172?

GCD of 135, 289, 860, 172 is 1

2. Where do I get the detailed procedure to find GCD of 135, 289, 860, 172?

You can find a detailed procedure to find GCD of 135, 289, 860, 172 on our page.

3. How to find GCD of 135, 289, 860, 172 on a calculator?

You can find the GCD of 135, 289, 860, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.