GCD of 420, 486, 841, 945 Calculator

Given Input numbers are 420, 486, 841, 945

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

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 420, 486, 841, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 486, 841, 945 is 1.

Therefore, GCD of numbers 420, 486, 841, 945 is 1

Given Input Data is 420, 486, 841, 945

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 841 is 29 x 29

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(420, 486) = 34020

GCD(420, 486) = ( 420 x 486 ) / 34020

GCD(420, 486) = 204120 / 34020

GCD(420, 486) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 841

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

LCM(6, 841) = 5046

GCD(6, 841) = ( 6 x 841 ) / 5046

GCD(6, 841) = 5046 / 5046

GCD(6, 841) = 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 420, 486, 841, 945 is 1

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1. What is the GCD of 420, 486, 841, 945?

GCD of 420, 486, 841, 945 is 1

2. Where do I get the detailed procedure to find GCD of 420, 486, 841, 945?

You can find a detailed procedure to find GCD of 420, 486, 841, 945 on our page.

3. How to find GCD of 420, 486, 841, 945 on a calculator?

You can find the GCD of 420, 486, 841, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.