GCD of 822, 496, 82, 942 Calculator

Given Input numbers are 822, 496, 82, 942

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (822, 496, 82, 942) = 2.

Given numbers are 822, 496, 82, 942

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 82 are 2 x 41

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 822, 496, 82, 942 is 2.

Given numbers are 822, 496, 82, 942

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

Apply this formula for all numbers.

Step1:

LCM(822, 496) = 203856

GCD(822, 496) = ( 822 x 496 ) / 203856

= 822 / 496

= 822

Step2:

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

= 2 / 82

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 822, 496, 82, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 288, 31, 346
• GCD of 297, 150, 83, 605
• GCD of 754, 945, 34, 648
• GCD of 951, 671, 87, 536
• GCD of 499, 663, 87, 645

Given numbers are 822, 496, 82, 942
The greatest common divisor of numbers 822, 496, 82, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 496, 82, 942 is 2.

1. What is the GCD of 822, 496, 82, 942?

GCD of given numbers 822, 496, 82, 942 is 2

2. How to calculate the greatest common divisor of 822, 496, 82, 942?

We can find the highest common divisor of 822, 496, 82, 942 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, 496, 82, 942 i.e 2.

3. How can I use the GCD of 822, 496, 82, 942Calculator?

Out the numbers 822, 496, 82, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.