GCD of 522, 494, 70, 822 Calculator

Given Input numbers are 522, 494, 70, 822

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

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 522, 494, 70, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 494, 70, 822 is 2.

Therefore, GCD of numbers 522, 494, 70, 822 is 2

Given Input Data is 522, 494, 70, 822

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

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 822 is 2 x 3 x 137

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(522, 494) = 128934

GCD(522, 494) = ( 522 x 494 ) / 128934

GCD(522, 494) = 257868 / 128934

GCD(522, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 522, 494, 70, 822 is 2

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• GCD of 820, 220, 13, 157
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• GCD of 744, 849, 57, 507

1. What is the GCD of 522, 494, 70, 822?

GCD of 522, 494, 70, 822 is 2

2. Where do I get the detailed procedure to find GCD of 522, 494, 70, 822?

You can find a detailed procedure to find GCD of 522, 494, 70, 822 on our page.

3. How to find GCD of 522, 494, 70, 822 on a calculator?

You can find the GCD of 522, 494, 70, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.