GCD of 164, 780, 26, 904 Calculator

Given Input numbers are 164, 780, 26, 904

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 164, 780, 26, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 780, 26, 904 is 2.

Therefore, GCD of numbers 164, 780, 26, 904 is 2

Given Input Data is 164, 780, 26, 904

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 26 is 2 x 13

Prime Factorization of 904 is 2 x 2 x 2 x 113

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 780) = 31980

GCD(164, 780) = ( 164 x 780 ) / 31980

GCD(164, 780) = 127920 / 31980

GCD(164, 780) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 904

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

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

GCD(2, 904) = 1808 / 904

GCD(2, 904) = 2

GCD of 164, 780, 26, 904 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 613, 90, 902
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• GCD of 392, 274, 48, 853

1. What is the GCD of 164, 780, 26, 904?

GCD of 164, 780, 26, 904 is 2

2. Where do I get the detailed procedure to find GCD of 164, 780, 26, 904?

You can find a detailed procedure to find GCD of 164, 780, 26, 904 on our page.

3. How to find GCD of 164, 780, 26, 904 on a calculator?

You can find the GCD of 164, 780, 26, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.