GCD of 132, 564, 682, 856 Calculator

Given Input numbers are 132, 564, 682, 856

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 682 :

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

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

GCD of numbers is the greatest common divisor

So, the GCD (132, 564, 682, 856) = 2.

Given numbers are 132, 564, 682, 856

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 682 are 2 x 11 x 31

Prime factors of 856 are 2 x 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 132, 564, 682, 856 is 2.

Given numbers are 132, 564, 682, 856

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

Apply this formula for all numbers.

Step1:

LCM(132, 564) = 6204

GCD(132, 564) = ( 132 x 564 ) / 6204

= 132 / 564

= 132

Step2:

LCM(12, 682) = 4092

GCD(12, 682) = ( 12 x 682 ) / 4092

= 12 / 682

= 12

Step3:

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

= 2 / 856

= 2

So, Greatest Common Divisor of 132, 564, 682, 856 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 720, 538, 187
• GCD of 158, 483, 856, 877
• GCD of 142, 121, 421, 244
• GCD of 327, 887, 372, 981
• GCD of 241, 321, 808, 369

Given numbers are 132, 564, 682, 856
The greatest common divisor of numbers 132, 564, 682, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 564, 682, 856 is 2.

1. What is the GCD of 132, 564, 682, 856?

GCD of given numbers 132, 564, 682, 856 is 2

2. How to calculate the greatest common divisor of 132, 564, 682, 856?

We can find the highest common divisor of 132, 564, 682, 856 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, 564, 682, 856 i.e 2.

3. How can I use the GCD of 132, 564, 682, 856Calculator?

Out the numbers 132, 564, 682, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.