GCD of 561, 318, 538, 407 Calculator

Given Input numbers are 561, 318, 538, 407

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 407 :

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

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (561, 318, 538, 407) = 1.

Given numbers are 561, 318, 538, 407

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 318 are 2 x 3 x 53

Prime factors of 538 are 2 x 269

Prime factors of 407 are 11 x 37

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

Given numbers are 561, 318, 538, 407

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

Apply this formula for all numbers.

Step1:

LCM(561, 318) = 59466

GCD(561, 318) = ( 561 x 318 ) / 59466

= 561 / 318

= 561

Step2:

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

= 3 / 538

= 3

Step3:

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

= 1 / 407

= 1

So, Greatest Common Divisor of 561, 318, 538, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 507, 688, 506
• GCD of 334, 290, 816, 832
• GCD of 447, 888, 405, 100
• GCD of 390, 860, 195, 492
• GCD of 316, 140, 306, 868

Given numbers are 561, 318, 538, 407
The greatest common divisor of numbers 561, 318, 538, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 318, 538, 407 is 1.

1. What is the GCD of 561, 318, 538, 407?

GCD of given numbers 561, 318, 538, 407 is 1

2. How to calculate the greatest common divisor of 561, 318, 538, 407?

We can find the highest common divisor of 561, 318, 538, 407 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, 318, 538, 407 i.e 1.

3. How can I use the GCD of 561, 318, 538, 407Calculator?

Out the numbers 561, 318, 538, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.