GCD of 423, 427, 682, 945 Calculator

Given Input numbers are 423, 427, 682, 945

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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

Greatest Common Divisior

We found the divisors of 423, 427, 682, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 427, 682, 945 is 1.

Therefore, GCD of numbers 423, 427, 682, 945 is 1

Given Input Data is 423, 427, 682, 945

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 427 is 7 x 61

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 945 is 3 x 3 x 3 x 5 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(423, 427) = 180621

GCD(423, 427) = ( 423 x 427 ) / 180621

GCD(423, 427) = 180621 / 180621

GCD(423, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 423, 427, 682, 945 is 1

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1. What is the GCD of 423, 427, 682, 945?

GCD of 423, 427, 682, 945 is 1

2. Where do I get the detailed procedure to find GCD of 423, 427, 682, 945?

You can find a detailed procedure to find GCD of 423, 427, 682, 945 on our page.

3. How to find GCD of 423, 427, 682, 945 on a calculator?

You can find the GCD of 423, 427, 682, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.