GCD of 420, 532, 83, 837 Calculator

Given Input numbers are 420, 532, 83, 837

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 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 420, 532, 83, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 532, 83, 837 is 1.

Therefore, GCD of numbers 420, 532, 83, 837 is 1

Given Input Data is 420, 532, 83, 837

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 532 is 2 x 2 x 7 x 19

Prime Factorization of 83 is 83

Prime Factorization of 837 is 3 x 3 x 3 x 31

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, 532) = 7980

GCD(420, 532) = ( 420 x 532 ) / 7980

GCD(420, 532) = 223440 / 7980

GCD(420, 532) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 83

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

LCM(28, 83) = 2324

GCD(28, 83) = ( 28 x 83 ) / 2324

GCD(28, 83) = 2324 / 2324

GCD(28, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

GCD of 420, 532, 83, 837 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 720, 29, 739
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• GCD of 269, 857, 73, 865

1. What is the GCD of 420, 532, 83, 837?

GCD of 420, 532, 83, 837 is 1

2. Where do I get the detailed procedure to find GCD of 420, 532, 83, 837?

You can find a detailed procedure to find GCD of 420, 532, 83, 837 on our page.

3. How to find GCD of 420, 532, 83, 837 on a calculator?

You can find the GCD of 420, 532, 83, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.