GCD of 892, 582, 363, 526 Calculator

Given Input numbers are 892, 582, 363, 526

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 892, 582, 363, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 582, 363, 526 is 1.

Therefore, GCD of numbers 892, 582, 363, 526 is 1

Given Input Data is 892, 582, 363, 526

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 526 is 2 x 263

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(892, 582) = 259572

GCD(892, 582) = ( 892 x 582 ) / 259572

GCD(892, 582) = 519144 / 259572

GCD(892, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 892, 582, 363, 526 is 1

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• GCD of 852, 162, 688, 108
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1. What is the GCD of 892, 582, 363, 526?

GCD of 892, 582, 363, 526 is 1

2. Where do I get the detailed procedure to find GCD of 892, 582, 363, 526?

You can find a detailed procedure to find GCD of 892, 582, 363, 526 on our page.

3. How to find GCD of 892, 582, 363, 526 on a calculator?

You can find the GCD of 892, 582, 363, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.