GCD of 164, 372, 886, 780 Calculator

Given Input numbers are 164, 372, 886, 780

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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

Greatest Common Divisior

We found the divisors of 164, 372, 886, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 372, 886, 780 is 2.

Therefore, GCD of numbers 164, 372, 886, 780 is 2

Given Input Data is 164, 372, 886, 780

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 886 is 2 x 443

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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, 372) = 15252

GCD(164, 372) = ( 164 x 372 ) / 15252

GCD(164, 372) = 61008 / 15252

GCD(164, 372) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 886

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

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

GCD(4, 886) = 3544 / 1772

GCD(4, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 164, 372, 886, 780 is 2

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1. What is the GCD of 164, 372, 886, 780?

GCD of 164, 372, 886, 780 is 2

2. Where do I get the detailed procedure to find GCD of 164, 372, 886, 780?

You can find a detailed procedure to find GCD of 164, 372, 886, 780 on our page.

3. How to find GCD of 164, 372, 886, 780 on a calculator?

You can find the GCD of 164, 372, 886, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.