GCD of 75, 830, 213, 655 Calculator

Given Input numbers are 75, 830, 213, 655

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 75, 830, 213, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 830, 213, 655 is 1.

Therefore, GCD of numbers 75, 830, 213, 655 is 1

Given Input Data is 75, 830, 213, 655

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 213 is 3 x 71

Prime Factorization of 655 is 5 x 131

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(75, 830) = 12450

GCD(75, 830) = ( 75 x 830 ) / 12450

GCD(75, 830) = 62250 / 12450

GCD(75, 830) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 213

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

LCM(5, 213) = 1065

GCD(5, 213) = ( 5 x 213 ) / 1065

GCD(5, 213) = 1065 / 1065

GCD(5, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 75, 830, 213, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 639, 965, 872
• GCD of 59, 305, 743, 548
• GCD of 19, 889, 773, 785
• GCD of 82, 352, 849, 561
• GCD of 26, 544, 706, 469

1. What is the GCD of 75, 830, 213, 655?

GCD of 75, 830, 213, 655 is 1

2. Where do I get the detailed procedure to find GCD of 75, 830, 213, 655?

You can find a detailed procedure to find GCD of 75, 830, 213, 655 on our page.

3. How to find GCD of 75, 830, 213, 655 on a calculator?

You can find the GCD of 75, 830, 213, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.