GCD of 456, 429, 744, 155 Calculator

Given Input numbers are 456, 429, 744, 155

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 456, 429, 744, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 429, 744, 155 is 1.

Therefore, GCD of numbers 456, 429, 744, 155 is 1

Given Input Data is 456, 429, 744, 155

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 155 is 5 x 31

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(456, 429) = 65208

GCD(456, 429) = ( 456 x 429 ) / 65208

GCD(456, 429) = 195624 / 65208

GCD(456, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 744

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

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

GCD(3, 744) = 2232 / 744

GCD(3, 744) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 155

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

LCM(3, 155) = 465

GCD(3, 155) = ( 3 x 155 ) / 465

GCD(3, 155) = 465 / 465

GCD(3, 155) = 1

GCD of 456, 429, 744, 155 is 1

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1. What is the GCD of 456, 429, 744, 155?

GCD of 456, 429, 744, 155 is 1

2. Where do I get the detailed procedure to find GCD of 456, 429, 744, 155?

You can find a detailed procedure to find GCD of 456, 429, 744, 155 on our page.

3. How to find GCD of 456, 429, 744, 155 on a calculator?

You can find the GCD of 456, 429, 744, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.