GCD of 59, 410, 972, 172 Calculator

Given Input numbers are 59, 410, 972, 172

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 59, 410, 972, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 410, 972, 172 is 1.

Therefore, GCD of numbers 59, 410, 972, 172 is 1

Given Input Data is 59, 410, 972, 172

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

Prime Factorization of 59 is 59

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(59, 410) = 24190

GCD(59, 410) = ( 59 x 410 ) / 24190

GCD(59, 410) = 24190 / 24190

GCD(59, 410) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 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 59, 410, 972, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 240, 234, 317
• GCD of 75, 101, 447, 721
• GCD of 25, 462, 403, 219
• GCD of 86, 694, 691, 853
• GCD of 92, 682, 677, 436

1. What is the GCD of 59, 410, 972, 172?

GCD of 59, 410, 972, 172 is 1

2. Where do I get the detailed procedure to find GCD of 59, 410, 972, 172?

You can find a detailed procedure to find GCD of 59, 410, 972, 172 on our page.

3. How to find GCD of 59, 410, 972, 172 on a calculator?

You can find the GCD of 59, 410, 972, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.