GCD of 822, 528, 682, 506 Calculator

Given Input numbers are 822, 528, 682, 506

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (822, 528, 682, 506) = 2.

Given numbers are 822, 528, 682, 506

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 682 are 2 x 11 x 31

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 822, 528, 682, 506 is 2.

Given numbers are 822, 528, 682, 506

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

Apply this formula for all numbers.

Step1:

LCM(822, 528) = 72336

GCD(822, 528) = ( 822 x 528 ) / 72336

= 822 / 528

= 822

Step2:

LCM(6, 682) = 2046

GCD(6, 682) = ( 6 x 682 ) / 2046

= 6 / 682

= 6

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 822, 528, 682, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 105, 653, 522
• GCD of 381, 150, 172, 524
• GCD of 422, 107, 185, 251
• GCD of 540, 123, 389, 568
• GCD of 859, 537, 829, 379

Given numbers are 822, 528, 682, 506
The greatest common divisor of numbers 822, 528, 682, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 528, 682, 506 is 2.

1. What is the GCD of 822, 528, 682, 506?

GCD of given numbers 822, 528, 682, 506 is 2

2. How to calculate the greatest common divisor of 822, 528, 682, 506?

We can find the highest common divisor of 822, 528, 682, 506 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 822, 528, 682, 506 i.e 2.

3. How can I use the GCD of 822, 528, 682, 506Calculator?

Out the numbers 822, 528, 682, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.