GCD of 214, 147, 629, 588 Calculator

Given Input numbers are 214, 147, 629, 588

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 214, 147, 629, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 147, 629, 588 is 1.

Therefore, GCD of numbers 214, 147, 629, 588 is 1

Given Input Data is 214, 147, 629, 588

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 629 is 17 x 37

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(214, 147) = 31458

GCD(214, 147) = ( 214 x 147 ) / 31458

GCD(214, 147) = 31458 / 31458

GCD(214, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 214, 147, 629, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 815, 429, 870
• GCD of 451, 408, 107, 326
• GCD of 880, 912, 720, 934
• GCD of 971, 356, 163, 777
• GCD of 508, 427, 520, 743

1. What is the GCD of 214, 147, 629, 588?

GCD of 214, 147, 629, 588 is 1

2. Where do I get the detailed procedure to find GCD of 214, 147, 629, 588?

You can find a detailed procedure to find GCD of 214, 147, 629, 588 on our page.

3. How to find GCD of 214, 147, 629, 588 on a calculator?

You can find the GCD of 214, 147, 629, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.