GCD of 423, 264, 37, 770 Calculator

Given Input numbers are 423, 264, 37, 770

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 37

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

1, 37

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 423, 264, 37, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 264, 37, 770 is 1.

Therefore, GCD of numbers 423, 264, 37, 770 is 1

Given Input Data is 423, 264, 37, 770

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 37 is 37

Prime Factorization of 770 is 2 x 5 x 7 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(423, 264) = 37224

GCD(423, 264) = ( 423 x 264 ) / 37224

GCD(423, 264) = 111672 / 37224

GCD(423, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 423, 264, 37, 770 is 1

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1. What is the GCD of 423, 264, 37, 770?

GCD of 423, 264, 37, 770 is 1

2. Where do I get the detailed procedure to find GCD of 423, 264, 37, 770?

You can find a detailed procedure to find GCD of 423, 264, 37, 770 on our page.

3. How to find GCD of 423, 264, 37, 770 on a calculator?

You can find the GCD of 423, 264, 37, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.