GCD of 431, 144, 45, 626 Calculator

Given Input numbers are 431, 144, 45, 626

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 431, 144, 45, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 144, 45, 626 is 1.

Therefore, GCD of numbers 431, 144, 45, 626 is 1

Given Input Data is 431, 144, 45, 626

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

Prime Factorization of 431 is 431

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 626 is 2 x 313

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(431, 144) = 62064

GCD(431, 144) = ( 431 x 144 ) / 62064

GCD(431, 144) = 62064 / 62064

GCD(431, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 431, 144, 45, 626 is 1

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1. What is the GCD of 431, 144, 45, 626?

GCD of 431, 144, 45, 626 is 1

2. Where do I get the detailed procedure to find GCD of 431, 144, 45, 626?

You can find a detailed procedure to find GCD of 431, 144, 45, 626 on our page.

3. How to find GCD of 431, 144, 45, 626 on a calculator?

You can find the GCD of 431, 144, 45, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.