GCD of 550, 506, 752, 188 Calculator

Given Input numbers are 550, 506, 752, 188

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (550, 506, 752, 188) = 2.

Given numbers are 550, 506, 752, 188

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 506 are 2 x 11 x 23

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 550, 506, 752, 188 is 2.

Given numbers are 550, 506, 752, 188

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

Apply this formula for all numbers.

Step1:

LCM(550, 506) = 12650

GCD(550, 506) = ( 550 x 506 ) / 12650

= 550 / 506

= 550

Step2:

LCM(22, 752) = 8272

GCD(22, 752) = ( 22 x 752 ) / 8272

= 22 / 752

= 22

Step3:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

So, Greatest Common Divisor of 550, 506, 752, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 254, 515, 830
• GCD of 403, 220, 348, 650
• GCD of 189, 691, 493, 542
• GCD of 233, 990, 940, 218
• GCD of 839, 121, 780, 734

Given numbers are 550, 506, 752, 188
The greatest common divisor of numbers 550, 506, 752, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 506, 752, 188 is 2.

1. What is the GCD of 550, 506, 752, 188?

GCD of given numbers 550, 506, 752, 188 is 2

2. How to calculate the greatest common divisor of 550, 506, 752, 188?

We can find the highest common divisor of 550, 506, 752, 188 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 550, 506, 752, 188 i.e 2.

3. How can I use the GCD of 550, 506, 752, 188Calculator?

Out the numbers 550, 506, 752, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.