GCD of 170, 732, 51, 642 Calculator

Given Input numbers are 170, 732, 51, 642

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 642

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

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

Greatest Common Divisior

We found the divisors of 170, 732, 51, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 732, 51, 642 is 1.

Therefore, GCD of numbers 170, 732, 51, 642 is 1

Given Input Data is 170, 732, 51, 642

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 51 is 3 x 17

Prime Factorization of 642 is 2 x 3 x 107

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(170, 732) = 62220

GCD(170, 732) = ( 170 x 732 ) / 62220

GCD(170, 732) = 124440 / 62220

GCD(170, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 170, 732, 51, 642 is 1

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1. What is the GCD of 170, 732, 51, 642?

GCD of 170, 732, 51, 642 is 1

2. Where do I get the detailed procedure to find GCD of 170, 732, 51, 642?

You can find a detailed procedure to find GCD of 170, 732, 51, 642 on our page.

3. How to find GCD of 170, 732, 51, 642 on a calculator?

You can find the GCD of 170, 732, 51, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.