GCD of 20, 624, 228, 149 Calculator

Given Input numbers are 20, 624, 228, 149

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 20, 624, 228, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 624, 228, 149 is 1.

Therefore, GCD of numbers 20, 624, 228, 149 is 1

Given Input Data is 20, 624, 228, 149

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 149 is 149

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(20, 624) = 3120

GCD(20, 624) = ( 20 x 624 ) / 3120

GCD(20, 624) = 12480 / 3120

GCD(20, 624) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 228

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

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

GCD(4, 228) = 912 / 228

GCD(4, 228) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 149

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

LCM(4, 149) = 596

GCD(4, 149) = ( 4 x 149 ) / 596

GCD(4, 149) = 596 / 596

GCD(4, 149) = 1

GCD of 20, 624, 228, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 268, 947, 357
• GCD of 13, 408, 613, 688
• GCD of 31, 921, 772, 360
• GCD of 45, 884, 137, 323
• GCD of 37, 753, 938, 134

1. What is the GCD of 20, 624, 228, 149?

GCD of 20, 624, 228, 149 is 1

2. Where do I get the detailed procedure to find GCD of 20, 624, 228, 149?

You can find a detailed procedure to find GCD of 20, 624, 228, 149 on our page.

3. How to find GCD of 20, 624, 228, 149 on a calculator?

You can find the GCD of 20, 624, 228, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.