GCD of 538, 198, 632, 558 Calculator

Given Input numbers are 538, 198, 632, 558

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

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

GCD of numbers is the greatest common divisor

So, the GCD (538, 198, 632, 558) = 2.

Given numbers are 538, 198, 632, 558

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 632 are 2 x 2 x 2 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 538, 198, 632, 558 is 2.

Given numbers are 538, 198, 632, 558

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

Apply this formula for all numbers.

Step1:

LCM(538, 198) = 53262

GCD(538, 198) = ( 538 x 198 ) / 53262

= 538 / 198

= 538

Step2:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 538, 198, 632, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 635, 400, 126
• GCD of 874, 400, 948, 554
• GCD of 738, 136, 142, 998
• GCD of 784, 252, 107, 746
• GCD of 488, 700, 325, 168

Given numbers are 538, 198, 632, 558
The greatest common divisor of numbers 538, 198, 632, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 198, 632, 558 is 2.

1. What is the GCD of 538, 198, 632, 558?

GCD of given numbers 538, 198, 632, 558 is 2

2. How to calculate the greatest common divisor of 538, 198, 632, 558?

We can find the highest common divisor of 538, 198, 632, 558 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, 198, 632, 558 i.e 2.

3. How can I use the GCD of 538, 198, 632, 558Calculator?

Out the numbers 538, 198, 632, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.