GCD of 75, 574, 214, 427 Calculator

Given Input numbers are 75, 574, 214, 427

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 75, 574, 214, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 574, 214, 427 is 1.

Therefore, GCD of numbers 75, 574, 214, 427 is 1

Given Input Data is 75, 574, 214, 427

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 574 is 2 x 7 x 41

Prime Factorization of 214 is 2 x 107

Prime Factorization of 427 is 7 x 61

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, 574) = 43050

GCD(75, 574) = ( 75 x 574 ) / 43050

GCD(75, 574) = 43050 / 43050

GCD(75, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 75, 574, 214, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 681, 953, 964
• GCD of 40, 486, 448, 729
• GCD of 19, 603, 349, 995
• GCD of 43, 249, 861, 662
• GCD of 89, 736, 405, 122

1. What is the GCD of 75, 574, 214, 427?

GCD of 75, 574, 214, 427 is 1

2. Where do I get the detailed procedure to find GCD of 75, 574, 214, 427?

You can find a detailed procedure to find GCD of 75, 574, 214, 427 on our page.

3. How to find GCD of 75, 574, 214, 427 on a calculator?

You can find the GCD of 75, 574, 214, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.