GCD of 642, 661, 29, 169 Calculator

Given Input numbers are 642, 661, 29, 169

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 642, 661, 29, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 661, 29, 169 is 1.

Therefore, GCD of numbers 642, 661, 29, 169 is 1

Given Input Data is 642, 661, 29, 169

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 661 is 661

Prime Factorization of 29 is 29

Prime Factorization of 169 is 13 x 13

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, 661) = 424362

GCD(642, 661) = ( 642 x 661 ) / 424362

GCD(642, 661) = 424362 / 424362

GCD(642, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 642, 661, 29, 169 is 1

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1. What is the GCD of 642, 661, 29, 169?

GCD of 642, 661, 29, 169 is 1

2. Where do I get the detailed procedure to find GCD of 642, 661, 29, 169?

You can find a detailed procedure to find GCD of 642, 661, 29, 169 on our page.

3. How to find GCD of 642, 661, 29, 169 on a calculator?

You can find the GCD of 642, 661, 29, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.