GCD of 37, 549, 705, 220 Calculator

Given Input numbers are 37, 549, 705, 220

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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 37, 549, 705, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 549, 705, 220 is 1.

Therefore, GCD of numbers 37, 549, 705, 220 is 1

Given Input Data is 37, 549, 705, 220

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

Prime Factorization of 37 is 37

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 705 is 3 x 5 x 47

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(37, 549) = 20313

GCD(37, 549) = ( 37 x 549 ) / 20313

GCD(37, 549) = 20313 / 20313

GCD(37, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 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 37, 549, 705, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 358, 404, 613
• GCD of 89, 103, 832, 494
• GCD of 59, 278, 424, 382
• GCD of 47, 457, 182, 287
• GCD of 55, 148, 721, 394

1. What is the GCD of 37, 549, 705, 220?

GCD of 37, 549, 705, 220 is 1

2. Where do I get the detailed procedure to find GCD of 37, 549, 705, 220?

You can find a detailed procedure to find GCD of 37, 549, 705, 220 on our page.

3. How to find GCD of 37, 549, 705, 220 on a calculator?

You can find the GCD of 37, 549, 705, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.