GCD of 840, 254, 529, 522 Calculator

Given Input numbers are 840, 254, 529, 522

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

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 840, 254, 529, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 254, 529, 522 is 1.

Therefore, GCD of numbers 840, 254, 529, 522 is 1

Given Input Data is 840, 254, 529, 522

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

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 529 is 23 x 23

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(840, 254) = 106680

GCD(840, 254) = ( 840 x 254 ) / 106680

GCD(840, 254) = 213360 / 106680

GCD(840, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 529

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

LCM(2, 529) = 1058

GCD(2, 529) = ( 2 x 529 ) / 1058

GCD(2, 529) = 1058 / 1058

GCD(2, 529) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 840, 254, 529, 522 is 1

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• GCD of 258, 732, 439, 593
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1. What is the GCD of 840, 254, 529, 522?

GCD of 840, 254, 529, 522 is 1

2. Where do I get the detailed procedure to find GCD of 840, 254, 529, 522?

You can find a detailed procedure to find GCD of 840, 254, 529, 522 on our page.

3. How to find GCD of 840, 254, 529, 522 on a calculator?

You can find the GCD of 840, 254, 529, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.