GCD of 175, 722, 22, 205 Calculator

Given Input numbers are 175, 722, 22, 205

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 175, 722, 22, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 722, 22, 205 is 1.

Therefore, GCD of numbers 175, 722, 22, 205 is 1

Given Input Data is 175, 722, 22, 205

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 22 is 2 x 11

Prime Factorization of 205 is 5 x 41

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(175, 722) = 126350

GCD(175, 722) = ( 175 x 722 ) / 126350

GCD(175, 722) = 126350 / 126350

GCD(175, 722) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 175, 722, 22, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 339, 55, 987
• GCD of 731, 112, 50, 205
• GCD of 659, 788, 75, 392
• GCD of 709, 328, 65, 628
• GCD of 882, 406, 16, 906

1. What is the GCD of 175, 722, 22, 205?

GCD of 175, 722, 22, 205 is 1

2. Where do I get the detailed procedure to find GCD of 175, 722, 22, 205?

You can find a detailed procedure to find GCD of 175, 722, 22, 205 on our page.

3. How to find GCD of 175, 722, 22, 205 on a calculator?

You can find the GCD of 175, 722, 22, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.