GCD of 465, 990, 228, 126 Calculator

Given Input numbers are 465, 990, 228, 126

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 126 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (465, 990, 228, 126) = 3.

Given numbers are 465, 990, 228, 126

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

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

The highest common occurrence is 3¹

Therefore, GCD of 465, 990, 228, 126 is 3.

Given numbers are 465, 990, 228, 126

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

Apply this formula for all numbers.

Step1:

LCM(465, 990) = 30690

GCD(465, 990) = ( 465 x 990 ) / 30690

= 465 / 990

= 465

Step2:

LCM(15, 228) = 1140

GCD(15, 228) = ( 15 x 228 ) / 1140

= 15 / 228

= 15

Step3:

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

= 3 / 126

= 3

So, Greatest Common Divisor of 465, 990, 228, 126 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 936, 456, 426
• GCD of 708, 370, 156, 748
• GCD of 980, 119, 712, 828
• GCD of 533, 445, 695, 992
• GCD of 627, 426, 291, 823

Given numbers are 465, 990, 228, 126
The greatest common divisor of numbers 465, 990, 228, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 990, 228, 126 is 3.

1. What is the GCD of 465, 990, 228, 126?

GCD of given numbers 465, 990, 228, 126 is 3

2. How to calculate the greatest common divisor of 465, 990, 228, 126?

We can find the highest common divisor of 465, 990, 228, 126 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 465, 990, 228, 126 i.e 3.

3. How can I use the GCD of 465, 990, 228, 126Calculator?

Out the numbers 465, 990, 228, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.