GCD of 820, 676, 75, 886 Calculator

Given Input numbers are 820, 676, 75, 886

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 886

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

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 820, 676, 75, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 676, 75, 886 is 1.

Therefore, GCD of numbers 820, 676, 75, 886 is 1

Given Input Data is 820, 676, 75, 886

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 676 is 2 x 2 x 13 x 13

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 886 is 2 x 443

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, 676) = 138580

GCD(820, 676) = ( 820 x 676 ) / 138580

GCD(820, 676) = 554320 / 138580

GCD(820, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

GCD of 820, 676, 75, 886 is 1

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• GCD of 395, 999, 93, 910
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1. What is the GCD of 820, 676, 75, 886?

GCD of 820, 676, 75, 886 is 1

2. Where do I get the detailed procedure to find GCD of 820, 676, 75, 886?

You can find a detailed procedure to find GCD of 820, 676, 75, 886 on our page.

3. How to find GCD of 820, 676, 75, 886 on a calculator?

You can find the GCD of 820, 676, 75, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.