GCD of 764, 966, 132, 264 Calculator

Given Input numbers are 764, 966, 132, 264

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (764, 966, 132, 264) = 2.

Given numbers are 764, 966, 132, 264

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 966 are 2 x 3 x 7 x 23

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 764, 966, 132, 264 is 2.

Given numbers are 764, 966, 132, 264

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

Apply this formula for all numbers.

Step1:

LCM(764, 966) = 369012

GCD(764, 966) = ( 764 x 966 ) / 369012

= 764 / 966

= 764

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 764, 966, 132, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 454, 161, 183
• GCD of 792, 774, 991, 464
• GCD of 564, 119, 618, 384
• GCD of 498, 318, 592, 631
• GCD of 240, 933, 882, 468

Given numbers are 764, 966, 132, 264
The greatest common divisor of numbers 764, 966, 132, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 966, 132, 264 is 2.

1. What is the GCD of 764, 966, 132, 264?

GCD of given numbers 764, 966, 132, 264 is 2

2. How to calculate the greatest common divisor of 764, 966, 132, 264?

We can find the highest common divisor of 764, 966, 132, 264 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 764, 966, 132, 264 i.e 2.

3. How can I use the GCD of 764, 966, 132, 264Calculator?

Out the numbers 764, 966, 132, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.