GCD of 561, 722, 890, 909 Calculator

Given Input numbers are 561, 722, 890, 909

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (561, 722, 890, 909) = 1.

Given numbers are 561, 722, 890, 909

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 722 are 2 x 19 x 19

Prime factors of 890 are 2 x 5 x 89

Prime factors of 909 are 3 x 3 x 101

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

Given numbers are 561, 722, 890, 909

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

Apply this formula for all numbers.

Step1:

LCM(561, 722) = 405042

GCD(561, 722) = ( 561 x 722 ) / 405042

= 561 / 722

= 561

Step2:

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

= 1 / 890

= 1

Step3:

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

= 1 / 909

= 1

So, Greatest Common Divisor of 561, 722, 890, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 723, 847, 262
• GCD of 260, 142, 609, 666
• GCD of 561, 392, 769, 966
• GCD of 466, 384, 703, 919
• GCD of 288, 593, 223, 586

Given numbers are 561, 722, 890, 909
The greatest common divisor of numbers 561, 722, 890, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 722, 890, 909 is 1.

1. What is the GCD of 561, 722, 890, 909?

GCD of given numbers 561, 722, 890, 909 is 1

2. How to calculate the greatest common divisor of 561, 722, 890, 909?

We can find the highest common divisor of 561, 722, 890, 909 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, 722, 890, 909 i.e 1.

3. How can I use the GCD of 561, 722, 890, 909Calculator?

Out the numbers 561, 722, 890, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.