GCD of 916, 728, 580, 966 Calculator

Given Input numbers are 916, 728, 580, 966

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

GCD of numbers is the greatest common divisor

So, the GCD (916, 728, 580, 966) = 2.

Given numbers are 916, 728, 580, 966

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 580 are 2 x 2 x 5 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 916, 728, 580, 966 is 2.

Given numbers are 916, 728, 580, 966

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

Apply this formula for all numbers.

Step1:

LCM(916, 728) = 166712

GCD(916, 728) = ( 916 x 728 ) / 166712

= 916 / 728

= 916

Step2:

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

= 4 / 580

= 4

Step3:

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

= 4 / 966

= 4

So, Greatest Common Divisor of 916, 728, 580, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 851, 362, 243
• GCD of 395, 329, 951, 568
• GCD of 101, 213, 265, 270
• GCD of 959, 963, 902, 860
• GCD of 429, 153, 897, 512

Given numbers are 916, 728, 580, 966
The greatest common divisor of numbers 916, 728, 580, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 728, 580, 966 is 2.

1. What is the GCD of 916, 728, 580, 966?

GCD of given numbers 916, 728, 580, 966 is 2

2. How to calculate the greatest common divisor of 916, 728, 580, 966?

We can find the highest common divisor of 916, 728, 580, 966 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 916, 728, 580, 966 i.e 2.

3. How can I use the GCD of 916, 728, 580, 966Calculator?

Out the numbers 916, 728, 580, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.