GCD of 708, 169, 183, 164 Calculator

Given Input numbers are 708, 169, 183, 164

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 169

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

1, 13, 169

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 708, 169, 183, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 169, 183, 164 is 1.

Therefore, GCD of numbers 708, 169, 183, 164 is 1

Given Input Data is 708, 169, 183, 164

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 169 is 13 x 13

Prime Factorization of 183 is 3 x 61

Prime Factorization of 164 is 2 x 2 x 41

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(708, 169) = 119652

GCD(708, 169) = ( 708 x 169 ) / 119652

GCD(708, 169) = 119652 / 119652

GCD(708, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 183

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

LCM(1, 183) = 183

GCD(1, 183) = ( 1 x 183 ) / 183

GCD(1, 183) = 183 / 183

GCD(1, 183) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 708, 169, 183, 164 is 1

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1. What is the GCD of 708, 169, 183, 164?

GCD of 708, 169, 183, 164 is 1

2. Where do I get the detailed procedure to find GCD of 708, 169, 183, 164?

You can find a detailed procedure to find GCD of 708, 169, 183, 164 on our page.

3. How to find GCD of 708, 169, 183, 164 on a calculator?

You can find the GCD of 708, 169, 183, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.