GCD of 542, 522, 138, 936 Calculator

Given Input numbers are 542, 522, 138, 936

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

GCD of numbers is the greatest common divisor

So, the GCD (542, 522, 138, 936) = 2.

Given numbers are 542, 522, 138, 936

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 138 are 2 x 3 x 23

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 542, 522, 138, 936 is 2.

Given numbers are 542, 522, 138, 936

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

Apply this formula for all numbers.

Step1:

LCM(542, 522) = 141462

GCD(542, 522) = ( 542 x 522 ) / 141462

= 542 / 522

= 542

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

So, Greatest Common Divisor of 542, 522, 138, 936 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 604, 395, 763
• GCD of 553, 219, 520, 226
• GCD of 132, 825, 506, 553
• GCD of 945, 896, 129, 646
• GCD of 528, 325, 840, 211

Given numbers are 542, 522, 138, 936
The greatest common divisor of numbers 542, 522, 138, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 522, 138, 936 is 2.

1. What is the GCD of 542, 522, 138, 936?

GCD of given numbers 542, 522, 138, 936 is 2

2. How to calculate the greatest common divisor of 542, 522, 138, 936?

We can find the highest common divisor of 542, 522, 138, 936 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 542, 522, 138, 936 i.e 2.

3. How can I use the GCD of 542, 522, 138, 936Calculator?

Out the numbers 542, 522, 138, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.