GCD of 164, 760, 192, 364 Calculator

Given Input numbers are 164, 760, 192, 364

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 164, 760, 192, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 760, 192, 364 is 4.

Therefore, GCD of numbers 164, 760, 192, 364 is 4

Given Input Data is 164, 760, 192, 364

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 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 364 is 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 760) = 31160

GCD(164, 760) = ( 164 x 760 ) / 31160

GCD(164, 760) = 124640 / 31160

GCD(164, 760) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 192

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

LCM(4, 192) = 192

GCD(4, 192) = ( 4 x 192 ) / 192

GCD(4, 192) = 768 / 192

GCD(4, 192) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 364

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

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

GCD(4, 364) = 1456 / 364

GCD(4, 364) = 4

GCD of 164, 760, 192, 364 is 4

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1. What is the GCD of 164, 760, 192, 364?

GCD of 164, 760, 192, 364 is 4

2. Where do I get the detailed procedure to find GCD of 164, 760, 192, 364?

You can find a detailed procedure to find GCD of 164, 760, 192, 364 on our page.

3. How to find GCD of 164, 760, 192, 364 on a calculator?

You can find the GCD of 164, 760, 192, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.