GCD of 508, 442, 922, 582 Calculator

Given Input numbers are 508, 442, 922, 582

In the factoring method, we have to find the divisors of all numbers

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (508, 442, 922, 582) = 2.

Given numbers are 508, 442, 922, 582

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 442 are 2 x 13 x 17

Prime factors of 922 are 2 x 461

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 2¹

Therefore, GCD of 508, 442, 922, 582 is 2.

Given numbers are 508, 442, 922, 582

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(508, 442) = 112268

GCD(508, 442) = ( 508 x 442 ) / 112268

= 508 / 442

= 508

Step2:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2

Step3:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

So, Greatest Common Divisor of 508, 442, 922, 582 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 344, 511, 582
• GCD of 262, 889, 313, 956
• GCD of 965, 421, 171, 152
• GCD of 563, 952, 833, 318
• GCD of 801, 514, 741, 176

Given numbers are 508, 442, 922, 582
The greatest common divisor of numbers 508, 442, 922, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 442, 922, 582 is 2.

1. What is the GCD of 508, 442, 922, 582?

GCD of given numbers 508, 442, 922, 582 is 2

2. How to calculate the greatest common divisor of 508, 442, 922, 582?

We can find the highest common divisor of 508, 442, 922, 582 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 508, 442, 922, 582 i.e 2.

3. How can I use the GCD of 508, 442, 922, 582Calculator?

Out the numbers 508, 442, 922, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.