GCD of 172, 200, 33, 258 Calculator

Given Input numbers are 172, 200, 33, 258

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 172, 200, 33, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 200, 33, 258 is 1.

Therefore, GCD of numbers 172, 200, 33, 258 is 1

Given Input Data is 172, 200, 33, 258

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 33 is 3 x 11

Prime Factorization of 258 is 2 x 3 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(172, 200) = 8600

GCD(172, 200) = ( 172 x 200 ) / 8600

GCD(172, 200) = 34400 / 8600

GCD(172, 200) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 33

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

LCM(4, 33) = 132

GCD(4, 33) = ( 4 x 33 ) / 132

GCD(4, 33) = 132 / 132

GCD(4, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 172, 200, 33, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 534, 22, 701
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• GCD of 498, 642, 68, 761
• GCD of 769, 379, 68, 144
• GCD of 942, 303, 13, 633

1. What is the GCD of 172, 200, 33, 258?

GCD of 172, 200, 33, 258 is 1

2. Where do I get the detailed procedure to find GCD of 172, 200, 33, 258?

You can find a detailed procedure to find GCD of 172, 200, 33, 258 on our page.

3. How to find GCD of 172, 200, 33, 258 on a calculator?

You can find the GCD of 172, 200, 33, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.