GCD of 468, 822, 682, 456 Calculator

Given Input numbers are 468, 822, 682, 456

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 822 :

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

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

Divisors of 682 :

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

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (468, 822, 682, 456) = 2.

Given numbers are 468, 822, 682, 456

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 822 are 2 x 3 x 137

Prime factors of 682 are 2 x 11 x 31

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 468, 822, 682, 456 is 2.

Given numbers are 468, 822, 682, 456

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

Apply this formula for all numbers.

Step1:

LCM(468, 822) = 64116

GCD(468, 822) = ( 468 x 822 ) / 64116

= 468 / 822

= 468

Step2:

LCM(6, 682) = 2046

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

= 6 / 682

= 6

Step3:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

So, Greatest Common Divisor of 468, 822, 682, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 294, 517, 215
• GCD of 380, 741, 650, 260
• GCD of 562, 847, 388, 546
• GCD of 517, 186, 292, 797
• GCD of 828, 846, 968, 883

Given numbers are 468, 822, 682, 456
The greatest common divisor of numbers 468, 822, 682, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 822, 682, 456 is 2.

1. What is the GCD of 468, 822, 682, 456?

GCD of given numbers 468, 822, 682, 456 is 2

2. How to calculate the greatest common divisor of 468, 822, 682, 456?

We can find the highest common divisor of 468, 822, 682, 456 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 468, 822, 682, 456 i.e 2.

3. How can I use the GCD of 468, 822, 682, 456Calculator?

Out the numbers 468, 822, 682, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.