GCD of 355, 923, 966, 872 Calculator

Given Input numbers are 355, 923, 966, 872

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (355, 923, 966, 872) = 1.

Given numbers are 355, 923, 966, 872

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 923 are 13 x 71

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

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 355, 923, 966, 872

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

Apply this formula for all numbers.

Step1:

LCM(355, 923) = 4615

GCD(355, 923) = ( 355 x 923 ) / 4615

= 355 / 923

= 355

Step2:

LCM(71, 966) = 68586

GCD(71, 966) = ( 71 x 966 ) / 68586

= 71 / 966

= 71

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 355, 923, 966, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 192, 965, 468
• GCD of 427, 642, 650, 826
• GCD of 817, 802, 772, 417
• GCD of 464, 574, 157, 990
• GCD of 905, 741, 791, 955

Given numbers are 355, 923, 966, 872
The greatest common divisor of numbers 355, 923, 966, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 923, 966, 872 is 1.

1. What is the GCD of 355, 923, 966, 872?

GCD of given numbers 355, 923, 966, 872 is 1

2. How to calculate the greatest common divisor of 355, 923, 966, 872?

We can find the highest common divisor of 355, 923, 966, 872 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 355, 923, 966, 872 i.e 1.

3. How can I use the GCD of 355, 923, 966, 872Calculator?

Out the numbers 355, 923, 966, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.