GCD of 792, 172, 84, 169 Calculator

Given Input numbers are 792, 172, 84, 169

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 792, 172, 84, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 172, 84, 169 is 1.

Therefore, GCD of numbers 792, 172, 84, 169 is 1

Given Input Data is 792, 172, 84, 169

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(792, 172) = 34056

GCD(792, 172) = ( 792 x 172 ) / 34056

GCD(792, 172) = 136224 / 34056

GCD(792, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 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 792, 172, 84, 169 is 1

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1. What is the GCD of 792, 172, 84, 169?

GCD of 792, 172, 84, 169 is 1

2. Where do I get the detailed procedure to find GCD of 792, 172, 84, 169?

You can find a detailed procedure to find GCD of 792, 172, 84, 169 on our page.

3. How to find GCD of 792, 172, 84, 169 on a calculator?

You can find the GCD of 792, 172, 84, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.