GCD of 132, 596, 772, 217 Calculator

Given Input numbers are 132, 596, 772, 217

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 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (132, 596, 772, 217) = 1.

Given numbers are 132, 596, 772, 217

The list of prime factors of all numbers are

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

Prime factors of 596 are 2 x 2 x 149

Prime factors of 772 are 2 x 2 x 193

Prime factors of 217 are 7 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 132, 596, 772, 217

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

Apply this formula for all numbers.

Step1:

LCM(132, 596) = 19668

GCD(132, 596) = ( 132 x 596 ) / 19668

= 132 / 596

= 132

Step2:

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

= 4 / 772

= 4

Step3:

LCM(4, 217) = 868

GCD(4, 217) = ( 4 x 217 ) / 868

= 4 / 217

= 4

So, Greatest Common Divisor of 132, 596, 772, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 730, 952, 289
• GCD of 900, 692, 650, 198
• GCD of 710, 193, 595, 825
• GCD of 570, 274, 826, 998
• GCD of 527, 161, 583, 176

Given numbers are 132, 596, 772, 217
The greatest common divisor of numbers 132, 596, 772, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 596, 772, 217 is 1.

1. What is the GCD of 132, 596, 772, 217?

GCD of given numbers 132, 596, 772, 217 is 1

2. How to calculate the greatest common divisor of 132, 596, 772, 217?

We can find the highest common divisor of 132, 596, 772, 217 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, 596, 772, 217 i.e 1.

3. How can I use the GCD of 132, 596, 772, 217Calculator?

Out the numbers 132, 596, 772, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.