GCD of 550, 638, 150, 218 Calculator

Given Input numbers are 550, 638, 150, 218

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (550, 638, 150, 218) = 2.

Given numbers are 550, 638, 150, 218

The list of prime factors of all numbers are

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

Prime factors of 638 are 2 x 11 x 29

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 550, 638, 150, 218 is 2.

Given numbers are 550, 638, 150, 218

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

Apply this formula for all numbers.

Step1:

LCM(550, 638) = 15950

GCD(550, 638) = ( 550 x 638 ) / 15950

= 550 / 638

= 550

Step2:

LCM(22, 150) = 1650

GCD(22, 150) = ( 22 x 150 ) / 1650

= 22 / 150

= 22

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 550, 638, 150, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 974, 819, 317
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Given numbers are 550, 638, 150, 218
The greatest common divisor of numbers 550, 638, 150, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 638, 150, 218 is 2.

1. What is the GCD of 550, 638, 150, 218?

GCD of given numbers 550, 638, 150, 218 is 2

2. How to calculate the greatest common divisor of 550, 638, 150, 218?

We can find the highest common divisor of 550, 638, 150, 218 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, 638, 150, 218 i.e 2.

3. How can I use the GCD of 550, 638, 150, 218Calculator?

Out the numbers 550, 638, 150, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.