GCD of 228, 220, 126, 150 Calculator

Given Input numbers are 228, 220, 126, 150

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

GCD of numbers is the greatest common divisor

So, the GCD (228, 220, 126, 150) = 2.

Given numbers are 228, 220, 126, 150

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 228, 220, 126, 150 is 2.

Given numbers are 228, 220, 126, 150

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

Apply this formula for all numbers.

Step1:

LCM(228, 220) = 12540

GCD(228, 220) = ( 228 x 220 ) / 12540

= 228 / 220

= 228

Step2:

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

= 4 / 126

= 4

Step3:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

So, Greatest Common Divisor of 228, 220, 126, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 525, 836, 945
• GCD of 301, 531, 484, 407
• GCD of 906, 285, 255, 154
• GCD of 805, 858, 185, 840
• GCD of 107, 723, 604, 268

Given numbers are 228, 220, 126, 150
The greatest common divisor of numbers 228, 220, 126, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 220, 126, 150 is 2.

1. What is the GCD of 228, 220, 126, 150?

GCD of given numbers 228, 220, 126, 150 is 2

2. How to calculate the greatest common divisor of 228, 220, 126, 150?

We can find the highest common divisor of 228, 220, 126, 150 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 228, 220, 126, 150 i.e 2.

3. How can I use the GCD of 228, 220, 126, 150Calculator?

Out the numbers 228, 220, 126, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.