GCD of 538, 588, 20, 566 Calculator

Given Input numbers are 538, 588, 20, 566

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

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

GCD of numbers is the greatest common divisor

So, the GCD (538, 588, 20, 566) = 2.

Given numbers are 538, 588, 20, 566

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 20 are 2 x 2 x 5

Prime factors of 566 are 2 x 283

The highest common occurrence is 2¹

Therefore, GCD of 538, 588, 20, 566 is 2.

Given numbers are 538, 588, 20, 566

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

Apply this formula for all numbers.

Step1:

LCM(538, 588) = 158172

GCD(538, 588) = ( 538 x 588 ) / 158172

= 538 / 588

= 538

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

= 2 / 566

= 2

So, Greatest Common Divisor of 538, 588, 20, 566 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 892, 23, 334
• GCD of 345, 424, 27, 222
• GCD of 507, 730, 57, 938
• GCD of 511, 632, 49, 932
• GCD of 164, 526, 92, 296

Given numbers are 538, 588, 20, 566
The greatest common divisor of numbers 538, 588, 20, 566 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 588, 20, 566 is 2.

1. What is the GCD of 538, 588, 20, 566?

GCD of given numbers 538, 588, 20, 566 is 2

2. How to calculate the greatest common divisor of 538, 588, 20, 566?

We can find the highest common divisor of 538, 588, 20, 566 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 538, 588, 20, 566 i.e 2.

3. How can I use the GCD of 538, 588, 20, 566Calculator?

Out the numbers 538, 588, 20, 566 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.