GCD of 37, 411, 345, 756 Calculator

Given Input numbers are 37, 411, 345, 756

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 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 37, 411, 345, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 411, 345, 756 is 1.

Therefore, GCD of numbers 37, 411, 345, 756 is 1

Given Input Data is 37, 411, 345, 756

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

Prime Factorization of 37 is 37

Prime Factorization of 411 is 3 x 137

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 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(37, 411) = 15207

GCD(37, 411) = ( 37 x 411 ) / 15207

GCD(37, 411) = 15207 / 15207

GCD(37, 411) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 37, 411, 345, 756 is 1

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1. What is the GCD of 37, 411, 345, 756?

GCD of 37, 411, 345, 756 is 1

2. Where do I get the detailed procedure to find GCD of 37, 411, 345, 756?

You can find a detailed procedure to find GCD of 37, 411, 345, 756 on our page.

3. How to find GCD of 37, 411, 345, 756 on a calculator?

You can find the GCD of 37, 411, 345, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.