GCD of 221, 239, 564, 723 Calculator

Given Input numbers are 221, 239, 564, 723

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 239 :

The positive integer divisors of 239 that completely divides 239 are.

1, 239

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (221, 239, 564, 723) = 1.

Given numbers are 221, 239, 564, 723

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 239 are 239

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 723 are 3 x 241

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

Given numbers are 221, 239, 564, 723

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

Apply this formula for all numbers.

Step1:

LCM(221, 239) = 52819

GCD(221, 239) = ( 221 x 239 ) / 52819

= 221 / 239

= 221

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 221, 239, 564, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 190, 255, 840
• GCD of 858, 469, 994, 781
• GCD of 979, 343, 315, 942
• GCD of 825, 384, 400, 656
• GCD of 938, 841, 750, 848

Given numbers are 221, 239, 564, 723
The greatest common divisor of numbers 221, 239, 564, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 239, 564, 723 is 1.

1. What is the GCD of 221, 239, 564, 723?

GCD of given numbers 221, 239, 564, 723 is 1

2. How to calculate the greatest common divisor of 221, 239, 564, 723?

We can find the highest common divisor of 221, 239, 564, 723 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, 239, 564, 723 i.e 1.

3. How can I use the GCD of 221, 239, 564, 723Calculator?

Out the numbers 221, 239, 564, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.