GCD of 642, 509, 153 Calculator

Given Input numbers are 642, 509, 153

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 153

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

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 642, 509, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 509, 153 is 1.

Therefore, GCD of numbers 642, 509, 153 is 1

Given Input Data is 642, 509, 153

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 509 is 509

Prime Factorization of 153 is 3 x 3 x 17

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(642, 509) = 326778

GCD(642, 509) = ( 642 x 509 ) / 326778

GCD(642, 509) = 326778 / 326778

GCD(642, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 642, 509, 153 is 1

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1. What is the GCD of 642, 509, 153?

GCD of 642, 509, 153 is 1

2. Where do I get the detailed procedure to find GCD of 642, 509, 153?

You can find a detailed procedure to find GCD of 642, 509, 153 on our page.

3. How to find GCD of 642, 509, 153 on a calculator?

You can find the GCD of 642, 509, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.