GCD of 840, 858, 521, 529 Calculator

Given Input numbers are 840, 858, 521, 529

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 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 529

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

1, 23, 529

Greatest Common Divisior

We found the divisors of 840, 858, 521, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 858, 521, 529 is 1.

Therefore, GCD of numbers 840, 858, 521, 529 is 1

Given Input Data is 840, 858, 521, 529

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 858 is 2 x 3 x 11 x 13

Prime Factorization of 521 is 521

Prime Factorization of 529 is 23 x 23

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, 858) = 120120

GCD(840, 858) = ( 840 x 858 ) / 120120

GCD(840, 858) = 720720 / 120120

GCD(840, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 521

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

LCM(6, 521) = 3126

GCD(6, 521) = ( 6 x 521 ) / 3126

GCD(6, 521) = 3126 / 3126

GCD(6, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 840, 858, 521, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 239, 609, 810
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• GCD of 635, 105, 885, 962

1. What is the GCD of 840, 858, 521, 529?

GCD of 840, 858, 521, 529 is 1

2. Where do I get the detailed procedure to find GCD of 840, 858, 521, 529?

You can find a detailed procedure to find GCD of 840, 858, 521, 529 on our page.

3. How to find GCD of 840, 858, 521, 529 on a calculator?

You can find the GCD of 840, 858, 521, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.