GCD of 558, 120, 936, 538 Calculator

Given Input numbers are 558, 120, 936, 538

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

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

Divisors of 538 :

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

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (558, 120, 936, 538) = 2.

Given numbers are 558, 120, 936, 538

The list of prime factors of all numbers are

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 558, 120, 936, 538 is 2.

Given numbers are 558, 120, 936, 538

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

Apply this formula for all numbers.

Step1:

LCM(558, 120) = 11160

GCD(558, 120) = ( 558 x 120 ) / 11160

= 558 / 120

= 558

Step2:

LCM(6, 936) = 936

GCD(6, 936) = ( 6 x 936 ) / 936

= 6 / 936

= 6

Step3:

LCM(6, 538) = 1614

GCD(6, 538) = ( 6 x 538 ) / 1614

= 6 / 538

= 6

So, Greatest Common Divisor of 558, 120, 936, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 441, 944, 143
• GCD of 121, 976, 190, 397
• GCD of 645, 316, 162, 427
• GCD of 906, 105, 356, 841
• GCD of 123, 860, 371, 359

Given numbers are 558, 120, 936, 538
The greatest common divisor of numbers 558, 120, 936, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 120, 936, 538 is 2.

1. What is the GCD of 558, 120, 936, 538?

GCD of given numbers 558, 120, 936, 538 is 2

2. How to calculate the greatest common divisor of 558, 120, 936, 538?

We can find the highest common divisor of 558, 120, 936, 538 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 558, 120, 936, 538 i.e 2.

3. How can I use the GCD of 558, 120, 936, 538Calculator?

Out the numbers 558, 120, 936, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.