GCD of 171, 642, 34, 740 Calculator

Given Input numbers are 171, 642, 34, 740

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 171, 642, 34, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 642, 34, 740 is 1.

Therefore, GCD of numbers 171, 642, 34, 740 is 1

Given Input Data is 171, 642, 34, 740

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 34 is 2 x 17

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(171, 642) = 36594

GCD(171, 642) = ( 171 x 642 ) / 36594

GCD(171, 642) = 109782 / 36594

GCD(171, 642) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 171, 642, 34, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 487, 87, 495
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• GCD of 365, 358, 56, 330

1. What is the GCD of 171, 642, 34, 740?

GCD of 171, 642, 34, 740 is 1

2. Where do I get the detailed procedure to find GCD of 171, 642, 34, 740?

You can find a detailed procedure to find GCD of 171, 642, 34, 740 on our page.

3. How to find GCD of 171, 642, 34, 740 on a calculator?

You can find the GCD of 171, 642, 34, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.