GCD of 172, 850, 75, 715 Calculator

Given Input numbers are 172, 850, 75, 715

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 172, 850, 75, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 850, 75, 715 is 1.

Therefore, GCD of numbers 172, 850, 75, 715 is 1

Given Input Data is 172, 850, 75, 715

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 850 is 2 x 5 x 5 x 17

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 715 is 5 x 11 x 13

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, 850) = 73100

GCD(172, 850) = ( 172 x 850 ) / 73100

GCD(172, 850) = 146200 / 73100

GCD(172, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 172, 850, 75, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 883, 92, 989
• GCD of 900, 184, 87, 758
• GCD of 931, 664, 94, 730
• GCD of 259, 730, 19, 304
• GCD of 360, 156, 65, 284

1. What is the GCD of 172, 850, 75, 715?

GCD of 172, 850, 75, 715 is 1

2. Where do I get the detailed procedure to find GCD of 172, 850, 75, 715?

You can find a detailed procedure to find GCD of 172, 850, 75, 715 on our page.

3. How to find GCD of 172, 850, 75, 715 on a calculator?

You can find the GCD of 172, 850, 75, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.