GCD of 561, 187, 726, 221 Calculator

Given Input numbers are 561, 187, 726, 221

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 221 :

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

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (561, 187, 726, 221) = 1.

Given numbers are 561, 187, 726, 221

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 187 are 11 x 17

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 221 are 13 x 17

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

Given numbers are 561, 187, 726, 221

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

Apply this formula for all numbers.

Step1:

LCM(561, 187) = 561

GCD(561, 187) = ( 561 x 187 ) / 561

= 561 / 187

= 561

Step2:

LCM(187, 726) = 12342

GCD(187, 726) = ( 187 x 726 ) / 12342

= 187 / 726

= 187

Step3:

LCM(11, 221) = 2431

GCD(11, 221) = ( 11 x 221 ) / 2431

= 11 / 221

= 11

So, Greatest Common Divisor of 561, 187, 726, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 870, 169, 364
• GCD of 463, 382, 870, 493
• GCD of 376, 754, 650, 523
• GCD of 355, 991, 171, 565
• GCD of 593, 765, 548, 326

Given numbers are 561, 187, 726, 221
The greatest common divisor of numbers 561, 187, 726, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 187, 726, 221 is 1.

1. What is the GCD of 561, 187, 726, 221?

GCD of given numbers 561, 187, 726, 221 is 1

2. How to calculate the greatest common divisor of 561, 187, 726, 221?

We can find the highest common divisor of 561, 187, 726, 221 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 561, 187, 726, 221 i.e 1.

3. How can I use the GCD of 561, 187, 726, 221Calculator?

Out the numbers 561, 187, 726, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.