GCD of 404, 840, 732, 527 Calculator

Given Input numbers are 404, 840, 732, 527

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 404, 840, 732, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 840, 732, 527 is 1.

Therefore, GCD of numbers 404, 840, 732, 527 is 1

Given Input Data is 404, 840, 732, 527

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 527 is 17 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(404, 840) = 84840

GCD(404, 840) = ( 404 x 840 ) / 84840

GCD(404, 840) = 339360 / 84840

GCD(404, 840) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 732

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

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

GCD(4, 732) = 2928 / 732

GCD(4, 732) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 527

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

LCM(4, 527) = 2108

GCD(4, 527) = ( 4 x 527 ) / 2108

GCD(4, 527) = 2108 / 2108

GCD(4, 527) = 1

GCD of 404, 840, 732, 527 is 1

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1. What is the GCD of 404, 840, 732, 527?

GCD of 404, 840, 732, 527 is 1

2. Where do I get the detailed procedure to find GCD of 404, 840, 732, 527?

You can find a detailed procedure to find GCD of 404, 840, 732, 527 on our page.

3. How to find GCD of 404, 840, 732, 527 on a calculator?

You can find the GCD of 404, 840, 732, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.