GCD of 168, 584, 772, 169 Calculator

Given Input numbers are 168, 584, 772, 169

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 168, 584, 772, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 584, 772, 169 is 1.

Therefore, GCD of numbers 168, 584, 772, 169 is 1

Given Input Data is 168, 584, 772, 169

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 772 is 2 x 2 x 193

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(168, 584) = 12264

GCD(168, 584) = ( 168 x 584 ) / 12264

GCD(168, 584) = 98112 / 12264

GCD(168, 584) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 772

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

LCM(8, 772) = 1544

GCD(8, 772) = ( 8 x 772 ) / 1544

GCD(8, 772) = 6176 / 1544

GCD(8, 772) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 169

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

LCM(4, 169) = 676

GCD(4, 169) = ( 4 x 169 ) / 676

GCD(4, 169) = 676 / 676

GCD(4, 169) = 1

GCD of 168, 584, 772, 169 is 1

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1. What is the GCD of 168, 584, 772, 169?

GCD of 168, 584, 772, 169 is 1

2. Where do I get the detailed procedure to find GCD of 168, 584, 772, 169?

You can find a detailed procedure to find GCD of 168, 584, 772, 169 on our page.

3. How to find GCD of 168, 584, 772, 169 on a calculator?

You can find the GCD of 168, 584, 772, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.