GCD of 538, 342, 546, 636 Calculator

Given Input numbers are 538, 342, 546, 636

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

GCD of numbers is the greatest common divisor

So, the GCD (538, 342, 546, 636) = 2.

Given numbers are 538, 342, 546, 636

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 546 are 2 x 3 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 538, 342, 546, 636 is 2.

Given numbers are 538, 342, 546, 636

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

Apply this formula for all numbers.

Step1:

LCM(538, 342) = 91998

GCD(538, 342) = ( 538 x 342 ) / 91998

= 538 / 342

= 538

Step2:

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

= 2 / 546

= 2

Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2

So, Greatest Common Divisor of 538, 342, 546, 636 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 429, 366, 393
• GCD of 803, 660, 181, 882
• GCD of 615, 353, 594, 191
• GCD of 969, 134, 504, 865
• GCD of 735, 211, 252, 417

Given numbers are 538, 342, 546, 636
The greatest common divisor of numbers 538, 342, 546, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 342, 546, 636 is 2.

1. What is the GCD of 538, 342, 546, 636?

GCD of given numbers 538, 342, 546, 636 is 2

2. How to calculate the greatest common divisor of 538, 342, 546, 636?

We can find the highest common divisor of 538, 342, 546, 636 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, 342, 546, 636 i.e 2.

3. How can I use the GCD of 538, 342, 546, 636Calculator?

Out the numbers 538, 342, 546, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.