GCD of 460, 598, 153, 644 Calculator

Given Input numbers are 460, 598, 153, 644

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 460, 598, 153, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 598, 153, 644 is 1.

Therefore, GCD of numbers 460, 598, 153, 644 is 1

Given Input Data is 460, 598, 153, 644

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(460, 598) = 5980

GCD(460, 598) = ( 460 x 598 ) / 5980

GCD(460, 598) = 275080 / 5980

GCD(460, 598) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 153

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

LCM(46, 153) = 7038

GCD(46, 153) = ( 46 x 153 ) / 7038

GCD(46, 153) = 7038 / 7038

GCD(46, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 460, 598, 153, 644 is 1

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1. What is the GCD of 460, 598, 153, 644?

GCD of 460, 598, 153, 644 is 1

2. Where do I get the detailed procedure to find GCD of 460, 598, 153, 644?

You can find a detailed procedure to find GCD of 460, 598, 153, 644 on our page.

3. How to find GCD of 460, 598, 153, 644 on a calculator?

You can find the GCD of 460, 598, 153, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.