GCD of 820, 112, 236, 779 Calculator

Given Input numbers are 820, 112, 236, 779

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 820, 112, 236, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 112, 236, 779 is 1.

Therefore, GCD of numbers 820, 112, 236, 779 is 1

Given Input Data is 820, 112, 236, 779

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 779 is 19 x 41

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(820, 112) = 22960

GCD(820, 112) = ( 820 x 112 ) / 22960

GCD(820, 112) = 91840 / 22960

GCD(820, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 236

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

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

GCD(4, 236) = 944 / 236

GCD(4, 236) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 779

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

LCM(4, 779) = 3116

GCD(4, 779) = ( 4 x 779 ) / 3116

GCD(4, 779) = 3116 / 3116

GCD(4, 779) = 1

GCD of 820, 112, 236, 779 is 1

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1. What is the GCD of 820, 112, 236, 779?

GCD of 820, 112, 236, 779 is 1

2. Where do I get the detailed procedure to find GCD of 820, 112, 236, 779?

You can find a detailed procedure to find GCD of 820, 112, 236, 779 on our page.

3. How to find GCD of 820, 112, 236, 779 on a calculator?

You can find the GCD of 820, 112, 236, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.