GCD of 561, 423, 702, 579 Calculator

Given Input numbers are 561, 423, 702, 579

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 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

GCD of numbers is the greatest common divisor

So, the GCD (561, 423, 702, 579) = 3.

Given numbers are 561, 423, 702, 579

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 423 are 3 x 3 x 47

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 579 are 3 x 193

The highest common occurrence is 3¹

Therefore, GCD of 561, 423, 702, 579 is 3.

Given numbers are 561, 423, 702, 579

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

Apply this formula for all numbers.

Step1:

LCM(561, 423) = 79101

GCD(561, 423) = ( 561 x 423 ) / 79101

= 561 / 423

= 561

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 579) = 579

GCD(3, 579) = ( 3 x 579 ) / 579

= 3 / 579

= 3

So, Greatest Common Divisor of 561, 423, 702, 579 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 668, 571, 139
• GCD of 986, 585, 656, 558
• GCD of 915, 982, 207, 344
• GCD of 325, 160, 624, 746
• GCD of 841, 660, 291, 586

Given numbers are 561, 423, 702, 579
The greatest common divisor of numbers 561, 423, 702, 579 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 423, 702, 579 is 3.

1. What is the GCD of 561, 423, 702, 579?

GCD of given numbers 561, 423, 702, 579 is 3

2. How to calculate the greatest common divisor of 561, 423, 702, 579?

We can find the highest common divisor of 561, 423, 702, 579 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, 423, 702, 579 i.e 3.

3. How can I use the GCD of 561, 423, 702, 579Calculator?

Out the numbers 561, 423, 702, 579 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.