GCD of 636, 590, 300, 558 Calculator

Given Input numbers are 636, 590, 300, 558

In the factoring method, we have to find the divisors of all numbers

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (636, 590, 300, 558) = 2.

Given numbers are 636, 590, 300, 558

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 590 are 2 x 5 x 59

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 636, 590, 300, 558 is 2.

Given numbers are 636, 590, 300, 558

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

Apply this formula for all numbers.

Step1:

LCM(636, 590) = 187620

GCD(636, 590) = ( 636 x 590 ) / 187620

= 636 / 590

= 636

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 636, 590, 300, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 746, 988, 591
• GCD of 910, 650, 986, 828
• GCD of 394, 779, 889, 755
• GCD of 340, 749, 293, 544
• GCD of 563, 823, 994, 168

Given numbers are 636, 590, 300, 558
The greatest common divisor of numbers 636, 590, 300, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 590, 300, 558 is 2.

1. What is the GCD of 636, 590, 300, 558?

GCD of given numbers 636, 590, 300, 558 is 2

2. How to calculate the greatest common divisor of 636, 590, 300, 558?

We can find the highest common divisor of 636, 590, 300, 558 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 636, 590, 300, 558 i.e 2.

3. How can I use the GCD of 636, 590, 300, 558Calculator?

Out the numbers 636, 590, 300, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.