GCD of 561, 642, 939, 399 Calculator

Given Input numbers are 561, 642, 939, 399

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (561, 642, 939, 399) = 3.

Given numbers are 561, 642, 939, 399

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 642 are 2 x 3 x 107

Prime factors of 939 are 3 x 313

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 561, 642, 939, 399 is 3.

Given numbers are 561, 642, 939, 399

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

Apply this formula for all numbers.

Step1:

LCM(561, 642) = 120054

GCD(561, 642) = ( 561 x 642 ) / 120054

= 561 / 642

= 561

Step2:

LCM(3, 939) = 939

GCD(3, 939) = ( 3 x 939 ) / 939

= 3 / 939

= 3

Step3:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3

So, Greatest Common Divisor of 561, 642, 939, 399 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 645, 557, 115
• GCD of 650, 141, 440, 734
• GCD of 929, 577, 271, 736
• GCD of 571, 700, 893, 488
• GCD of 477, 314, 993, 978

Given numbers are 561, 642, 939, 399
The greatest common divisor of numbers 561, 642, 939, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 642, 939, 399 is 3.

1. What is the GCD of 561, 642, 939, 399?

GCD of given numbers 561, 642, 939, 399 is 3

2. How to calculate the greatest common divisor of 561, 642, 939, 399?

We can find the highest common divisor of 561, 642, 939, 399 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, 642, 939, 399 i.e 3.

3. How can I use the GCD of 561, 642, 939, 399Calculator?

Out the numbers 561, 642, 939, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.