GCD of 538, 204, 52, 548 Calculator

Given Input numbers are 538, 204, 52, 548

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (538, 204, 52, 548) = 2.

Given numbers are 538, 204, 52, 548

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 52 are 2 x 2 x 13

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 538, 204, 52, 548 is 2.

Given numbers are 538, 204, 52, 548

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

Apply this formula for all numbers.

Step1:

LCM(538, 204) = 54876

GCD(538, 204) = ( 538 x 204 ) / 54876

= 538 / 204

= 538

Step2:

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

= 2 / 52

= 2

Step3:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

So, Greatest Common Divisor of 538, 204, 52, 548 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 858, 35, 674
• GCD of 746, 517, 35, 722
• GCD of 302, 619, 10, 470
• GCD of 898, 491, 45, 501
• GCD of 621, 887, 78, 775

Given numbers are 538, 204, 52, 548
The greatest common divisor of numbers 538, 204, 52, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 204, 52, 548 is 2.

1. What is the GCD of 538, 204, 52, 548?

GCD of given numbers 538, 204, 52, 548 is 2

2. How to calculate the greatest common divisor of 538, 204, 52, 548?

We can find the highest common divisor of 538, 204, 52, 548 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, 204, 52, 548 i.e 2.

3. How can I use the GCD of 538, 204, 52, 548Calculator?

Out the numbers 538, 204, 52, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.