GCD of 220, 170, 30, 553 Calculator

Given Input numbers are 220, 170, 30, 553

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

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 220, 170, 30, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 170, 30, 553 is 1.

Therefore, GCD of numbers 220, 170, 30, 553 is 1

Given Input Data is 220, 170, 30, 553

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

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 553 is 7 x 79

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(220, 170) = 3740

GCD(220, 170) = ( 220 x 170 ) / 3740

GCD(220, 170) = 37400 / 3740

GCD(220, 170) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 30

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

LCM(10, 30) = 30

GCD(10, 30) = ( 10 x 30 ) / 30

GCD(10, 30) = 300 / 30

GCD(10, 30) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 553

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

LCM(10, 553) = 5530

GCD(10, 553) = ( 10 x 553 ) / 5530

GCD(10, 553) = 5530 / 5530

GCD(10, 553) = 1

GCD of 220, 170, 30, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 792, 24, 500
• GCD of 469, 671, 73, 454
• GCD of 170, 886, 38, 536
• GCD of 272, 102, 51, 517
• GCD of 776, 224, 67, 930

1. What is the GCD of 220, 170, 30, 553?

GCD of 220, 170, 30, 553 is 1

2. Where do I get the detailed procedure to find GCD of 220, 170, 30, 553?

You can find a detailed procedure to find GCD of 220, 170, 30, 553 on our page.

3. How to find GCD of 220, 170, 30, 553 on a calculator?

You can find the GCD of 220, 170, 30, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.