GCD of 169, 640, 721, 108 Calculator

Given Input numbers are 169, 640, 721, 108

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

Divisors of 169

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

1, 13, 169

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 169, 640, 721, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 640, 721, 108 is 1.

Therefore, GCD of numbers 169, 640, 721, 108 is 1

Given Input Data is 169, 640, 721, 108

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 721 is 7 x 103

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(169, 640) = 108160

GCD(169, 640) = ( 169 x 640 ) / 108160

GCD(169, 640) = 108160 / 108160

GCD(169, 640) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 169, 640, 721, 108 is 1

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1. What is the GCD of 169, 640, 721, 108?

GCD of 169, 640, 721, 108 is 1

2. Where do I get the detailed procedure to find GCD of 169, 640, 721, 108?

You can find a detailed procedure to find GCD of 169, 640, 721, 108 on our page.

3. How to find GCD of 169, 640, 721, 108 on a calculator?

You can find the GCD of 169, 640, 721, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.