GCD of 402, 187, 30, 220 Calculator

Given Input numbers are 402, 187, 30, 220

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 402, 187, 30, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 187, 30, 220 is 1.

Therefore, GCD of numbers 402, 187, 30, 220 is 1

Given Input Data is 402, 187, 30, 220

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 187 is 11 x 17

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(402, 187) = 75174

GCD(402, 187) = ( 402 x 187 ) / 75174

GCD(402, 187) = 75174 / 75174

GCD(402, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 402, 187, 30, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 933, 14, 231
• GCD of 660, 295, 82, 220
• GCD of 577, 416, 36, 752
• GCD of 688, 746, 43, 554
• GCD of 533, 552, 34, 319

1. What is the GCD of 402, 187, 30, 220?

GCD of 402, 187, 30, 220 is 1

2. Where do I get the detailed procedure to find GCD of 402, 187, 30, 220?

You can find a detailed procedure to find GCD of 402, 187, 30, 220 on our page.

3. How to find GCD of 402, 187, 30, 220 on a calculator?

You can find the GCD of 402, 187, 30, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.