GCD of 357, 728, 221, 966 Calculator

Given Input numbers are 357, 728, 221, 966

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

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 (357, 728, 221, 966) = 1.

Given numbers are 357, 728, 221, 966

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

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

Prime factors of 221 are 13 x 17

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

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

Given numbers are 357, 728, 221, 966

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

Apply this formula for all numbers.

Step1:

LCM(357, 728) = 37128

GCD(357, 728) = ( 357 x 728 ) / 37128

= 357 / 728

= 357

Step2:

LCM(7, 221) = 1547

GCD(7, 221) = ( 7 x 221 ) / 1547

= 7 / 221

= 7

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 357, 728, 221, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 725, 446, 715
• GCD of 640, 534, 441, 411
• GCD of 642, 449, 808, 723
• GCD of 226, 872, 663, 539
• GCD of 639, 240, 246, 587

Given numbers are 357, 728, 221, 966
The greatest common divisor of numbers 357, 728, 221, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 728, 221, 966 is 1.

1. What is the GCD of 357, 728, 221, 966?

GCD of given numbers 357, 728, 221, 966 is 1

2. How to calculate the greatest common divisor of 357, 728, 221, 966?

We can find the highest common divisor of 357, 728, 221, 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 357, 728, 221, 966 i.e 1.

3. How can I use the GCD of 357, 728, 221, 966Calculator?

Out the numbers 357, 728, 221, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.