GCD of 771, 537, 446, 456 Calculator

Given Input numbers are 771, 537, 446, 456

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 771, 537, 446, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 537, 446, 456 is 1.

Therefore, GCD of numbers 771, 537, 446, 456 is 1

Given Input Data is 771, 537, 446, 456

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 537 is 3 x 179

Prime Factorization of 446 is 2 x 223

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(771, 537) = 138009

GCD(771, 537) = ( 771 x 537 ) / 138009

GCD(771, 537) = 414027 / 138009

GCD(771, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 446

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

LCM(3, 446) = 1338

GCD(3, 446) = ( 3 x 446 ) / 1338

GCD(3, 446) = 1338 / 1338

GCD(3, 446) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 771, 537, 446, 456 is 1

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1. What is the GCD of 771, 537, 446, 456?

GCD of 771, 537, 446, 456 is 1

2. Where do I get the detailed procedure to find GCD of 771, 537, 446, 456?

You can find a detailed procedure to find GCD of 771, 537, 446, 456 on our page.

3. How to find GCD of 771, 537, 446, 456 on a calculator?

You can find the GCD of 771, 537, 446, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.