GCD of 966, 686, 852, 736 Calculator

Given Input numbers are 966, 686, 852, 736

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

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (966, 686, 852, 736) = 2.

Given numbers are 966, 686, 852, 736

The list of prime factors of all numbers are

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 966, 686, 852, 736 is 2.

Given numbers are 966, 686, 852, 736

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

Apply this formula for all numbers.

Step1:

LCM(966, 686) = 47334

GCD(966, 686) = ( 966 x 686 ) / 47334

= 966 / 686

= 966

Step2:

LCM(14, 852) = 5964

GCD(14, 852) = ( 14 x 852 ) / 5964

= 14 / 852

= 14

Step3:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

So, Greatest Common Divisor of 966, 686, 852, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 207, 365, 923
• GCD of 118, 429, 187, 850
• GCD of 300, 863, 933, 744
• GCD of 314, 845, 529, 765
• GCD of 864, 551, 307, 557

Given numbers are 966, 686, 852, 736
The greatest common divisor of numbers 966, 686, 852, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 686, 852, 736 is 2.

1. What is the GCD of 966, 686, 852, 736?

GCD of given numbers 966, 686, 852, 736 is 2

2. How to calculate the greatest common divisor of 966, 686, 852, 736?

We can find the highest common divisor of 966, 686, 852, 736 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 966, 686, 852, 736 i.e 2.

3. How can I use the GCD of 966, 686, 852, 736Calculator?

Out the numbers 966, 686, 852, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.