GCD of 37, 435, 313, 220 Calculator

Given Input numbers are 37, 435, 313, 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 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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, 435, 313, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 435, 313, 220 is 1.

Therefore, GCD of numbers 37, 435, 313, 220 is 1

Given Input Data is 37, 435, 313, 220

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

Prime Factorization of 37 is 37

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 313 is 313

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, 435) = 16095

GCD(37, 435) = ( 37 x 435 ) / 16095

GCD(37, 435) = 16095 / 16095

GCD(37, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 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, 435, 313, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 100, 866, 633
• GCD of 74, 890, 476, 637
• GCD of 22, 297, 952, 111
• GCD of 33, 949, 572, 555
• GCD of 35, 224, 937, 602

1. What is the GCD of 37, 435, 313, 220?

GCD of 37, 435, 313, 220 is 1

2. Where do I get the detailed procedure to find GCD of 37, 435, 313, 220?

You can find a detailed procedure to find GCD of 37, 435, 313, 220 on our page.

3. How to find GCD of 37, 435, 313, 220 on a calculator?

You can find the GCD of 37, 435, 313, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.