GCD of 132, 822, 364, 490 Calculator

Given Input numbers are 132, 822, 364, 490

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 822 :

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

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (132, 822, 364, 490) = 2.

Given numbers are 132, 822, 364, 490

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 822 are 2 x 3 x 137

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 132, 822, 364, 490 is 2.

Given numbers are 132, 822, 364, 490

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

Apply this formula for all numbers.

Step1:

LCM(132, 822) = 18084

GCD(132, 822) = ( 132 x 822 ) / 18084

= 132 / 822

= 132

Step2:

LCM(6, 364) = 1092

GCD(6, 364) = ( 6 x 364 ) / 1092

= 6 / 364

= 6

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 132, 822, 364, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 645, 805, 864
• GCD of 860, 806, 884, 319
• GCD of 896, 780, 890, 784
• GCD of 458, 210, 127, 411
• GCD of 157, 961, 214, 343

Given numbers are 132, 822, 364, 490
The greatest common divisor of numbers 132, 822, 364, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 822, 364, 490 is 2.

1. What is the GCD of 132, 822, 364, 490?

GCD of given numbers 132, 822, 364, 490 is 2

2. How to calculate the greatest common divisor of 132, 822, 364, 490?

We can find the highest common divisor of 132, 822, 364, 490 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 132, 822, 364, 490 i.e 2.

3. How can I use the GCD of 132, 822, 364, 490Calculator?

Out the numbers 132, 822, 364, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.