GCD of 221, 728, 470, 961 Calculator

Given Input numbers are 221, 728, 470, 961

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

Divisors of 221 :

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

1, 13, 17, 221

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (221, 728, 470, 961) = 1.

Given numbers are 221, 728, 470, 961

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 961 are 31 x 31

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

Given numbers are 221, 728, 470, 961

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

Apply this formula for all numbers.

Step1:

LCM(221, 728) = 12376

GCD(221, 728) = ( 221 x 728 ) / 12376

= 221 / 728

= 221

Step2:

LCM(13, 470) = 6110

GCD(13, 470) = ( 13 x 470 ) / 6110

= 13 / 470

= 13

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 221, 728, 470, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 499, 543, 202
• GCD of 452, 486, 805, 668
• GCD of 683, 302, 717, 636
• GCD of 355, 386, 387, 141
• GCD of 360, 708, 523, 781

Given numbers are 221, 728, 470, 961
The greatest common divisor of numbers 221, 728, 470, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 728, 470, 961 is 1.

1. What is the GCD of 221, 728, 470, 961?

GCD of given numbers 221, 728, 470, 961 is 1

2. How to calculate the greatest common divisor of 221, 728, 470, 961?

We can find the highest common divisor of 221, 728, 470, 961 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 221, 728, 470, 961 i.e 1.

3. How can I use the GCD of 221, 728, 470, 961Calculator?

Out the numbers 221, 728, 470, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.