GCD of 164, 319, 316, 749 Calculator

Given Input numbers are 164, 319, 316, 749

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

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 164, 319, 316, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 319, 316, 749 is 1.

Therefore, GCD of numbers 164, 319, 316, 749 is 1

Given Input Data is 164, 319, 316, 749

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 319 is 11 x 29

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 749 is 7 x 107

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(164, 319) = 52316

GCD(164, 319) = ( 164 x 319 ) / 52316

GCD(164, 319) = 52316 / 52316

GCD(164, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 164, 319, 316, 749 is 1

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1. What is the GCD of 164, 319, 316, 749?

GCD of 164, 319, 316, 749 is 1

2. Where do I get the detailed procedure to find GCD of 164, 319, 316, 749?

You can find a detailed procedure to find GCD of 164, 319, 316, 749 on our page.

3. How to find GCD of 164, 319, 316, 749 on a calculator?

You can find the GCD of 164, 319, 316, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.