GCD of 561, 407, 909, 427 Calculator

Given Input numbers are 561, 407, 909, 427

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 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 909 :

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

1, 3, 9, 101, 303, 909

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (561, 407, 909, 427) = 1.

Given numbers are 561, 407, 909, 427

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 407 are 11 x 37

Prime factors of 909 are 3 x 3 x 101

Prime factors of 427 are 7 x 61

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

Given numbers are 561, 407, 909, 427

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

Apply this formula for all numbers.

Step1:

LCM(561, 407) = 20757

GCD(561, 407) = ( 561 x 407 ) / 20757

= 561 / 407

= 561

Step2:

LCM(11, 909) = 9999

GCD(11, 909) = ( 11 x 909 ) / 9999

= 11 / 909

= 11

Step3:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1

So, Greatest Common Divisor of 561, 407, 909, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 459, 403, 107
• GCD of 424, 694, 904, 830
• GCD of 487, 958, 421, 468
• GCD of 923, 700, 100, 790
• GCD of 532, 280, 679, 510

Given numbers are 561, 407, 909, 427
The greatest common divisor of numbers 561, 407, 909, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 407, 909, 427 is 1.

1. What is the GCD of 561, 407, 909, 427?

GCD of given numbers 561, 407, 909, 427 is 1

2. How to calculate the greatest common divisor of 561, 407, 909, 427?

We can find the highest common divisor of 561, 407, 909, 427 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, 407, 909, 427 i.e 1.

3. How can I use the GCD of 561, 407, 909, 427Calculator?

Out the numbers 561, 407, 909, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.