GCD of 79, 180, 705, 836 Calculator

Given Input numbers are 79, 180, 705, 836

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

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 79, 180, 705, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 180, 705, 836 is 1.

Therefore, GCD of numbers 79, 180, 705, 836 is 1

Given Input Data is 79, 180, 705, 836

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

Prime Factorization of 79 is 79

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 836 is 2 x 2 x 11 x 19

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(79, 180) = 14220

GCD(79, 180) = ( 79 x 180 ) / 14220

GCD(79, 180) = 14220 / 14220

GCD(79, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

GCD of 79, 180, 705, 836 is 1

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1. What is the GCD of 79, 180, 705, 836?

GCD of 79, 180, 705, 836 is 1

2. Where do I get the detailed procedure to find GCD of 79, 180, 705, 836?

You can find a detailed procedure to find GCD of 79, 180, 705, 836 on our page.

3. How to find GCD of 79, 180, 705, 836 on a calculator?

You can find the GCD of 79, 180, 705, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.