GCD of 462, 290, 75, 144 Calculator

Given Input numbers are 462, 290, 75, 144

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 462, 290, 75, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 290, 75, 144 is 1.

Therefore, GCD of numbers 462, 290, 75, 144 is 1

Given Input Data is 462, 290, 75, 144

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(462, 290) = 66990

GCD(462, 290) = ( 462 x 290 ) / 66990

GCD(462, 290) = 133980 / 66990

GCD(462, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 462, 290, 75, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 511, 38, 807
• GCD of 967, 100, 14, 939
• GCD of 733, 846, 16, 974
• GCD of 566, 542, 23, 222
• GCD of 729, 489, 59, 644

1. What is the GCD of 462, 290, 75, 144?

GCD of 462, 290, 75, 144 is 1

2. Where do I get the detailed procedure to find GCD of 462, 290, 75, 144?

You can find a detailed procedure to find GCD of 462, 290, 75, 144 on our page.

3. How to find GCD of 462, 290, 75, 144 on a calculator?

You can find the GCD of 462, 290, 75, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.