GCD of 920, 892, 19, 679 Calculator

Given Input numbers are 920, 892, 19, 679

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 920, 892, 19, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 892, 19, 679 is 1.

Therefore, GCD of numbers 920, 892, 19, 679 is 1

Given Input Data is 920, 892, 19, 679

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 19 is 19

Prime Factorization of 679 is 7 x 97

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(920, 892) = 205160

GCD(920, 892) = ( 920 x 892 ) / 205160

GCD(920, 892) = 820640 / 205160

GCD(920, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 19

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

LCM(4, 19) = 76

GCD(4, 19) = ( 4 x 19 ) / 76

GCD(4, 19) = 76 / 76

GCD(4, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 920, 892, 19, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 628, 90, 139
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• GCD of 448, 199, 48, 206

1. What is the GCD of 920, 892, 19, 679?

GCD of 920, 892, 19, 679 is 1

2. Where do I get the detailed procedure to find GCD of 920, 892, 19, 679?

You can find a detailed procedure to find GCD of 920, 892, 19, 679 on our page.

3. How to find GCD of 920, 892, 19, 679 on a calculator?

You can find the GCD of 920, 892, 19, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.