GCD of 421, 945, 552, 645 Calculator

Given Input numbers are 421, 945, 552, 645

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 421, 945, 552, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 945, 552, 645 is 1.

Therefore, GCD of numbers 421, 945, 552, 645 is 1

Given Input Data is 421, 945, 552, 645

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

Prime Factorization of 421 is 421

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 645 is 3 x 5 x 43

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(421, 945) = 397845

GCD(421, 945) = ( 421 x 945 ) / 397845

GCD(421, 945) = 397845 / 397845

GCD(421, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 421, 945, 552, 645 is 1

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1. What is the GCD of 421, 945, 552, 645?

GCD of 421, 945, 552, 645 is 1

2. Where do I get the detailed procedure to find GCD of 421, 945, 552, 645?

You can find a detailed procedure to find GCD of 421, 945, 552, 645 on our page.

3. How to find GCD of 421, 945, 552, 645 on a calculator?

You can find the GCD of 421, 945, 552, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.