GCD of 390, 126, 74, 151 Calculator

Given Input numbers are 390, 126, 74, 151

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 390, 126, 74, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 126, 74, 151 is 1.

Therefore, GCD of numbers 390, 126, 74, 151 is 1

Given Input Data is 390, 126, 74, 151

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 151 is 151

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(390, 126) = 8190

GCD(390, 126) = ( 390 x 126 ) / 8190

GCD(390, 126) = 49140 / 8190

GCD(390, 126) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 74

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

LCM(6, 74) = 222

GCD(6, 74) = ( 6 x 74 ) / 222

GCD(6, 74) = 444 / 222

GCD(6, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 151

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

LCM(2, 151) = 302

GCD(2, 151) = ( 2 x 151 ) / 302

GCD(2, 151) = 302 / 302

GCD(2, 151) = 1

GCD of 390, 126, 74, 151 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 572, 88, 290
• GCD of 816, 363, 97, 394
• GCD of 146, 947, 67, 858
• GCD of 909, 177, 30, 144
• GCD of 730, 860, 61, 411

1. What is the GCD of 390, 126, 74, 151?

GCD of 390, 126, 74, 151 is 1

2. Where do I get the detailed procedure to find GCD of 390, 126, 74, 151?

You can find a detailed procedure to find GCD of 390, 126, 74, 151 on our page.

3. How to find GCD of 390, 126, 74, 151 on a calculator?

You can find the GCD of 390, 126, 74, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.