GCD of 825, 920, 377, 947 Calculator

Given Input numbers are 825, 920, 377, 947

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 825, 920, 377, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 920, 377, 947 is 1.

Therefore, GCD of numbers 825, 920, 377, 947 is 1

Given Input Data is 825, 920, 377, 947

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

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

Prime Factorization of 377 is 13 x 29

Prime Factorization of 947 is 947

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(825, 920) = 151800

GCD(825, 920) = ( 825 x 920 ) / 151800

GCD(825, 920) = 759000 / 151800

GCD(825, 920) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 377

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

LCM(5, 377) = 1885

GCD(5, 377) = ( 5 x 377 ) / 1885

GCD(5, 377) = 1885 / 1885

GCD(5, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 825, 920, 377, 947 is 1

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1. What is the GCD of 825, 920, 377, 947?

GCD of 825, 920, 377, 947 is 1

2. Where do I get the detailed procedure to find GCD of 825, 920, 377, 947?

You can find a detailed procedure to find GCD of 825, 920, 377, 947 on our page.

3. How to find GCD of 825, 920, 377, 947 on a calculator?

You can find the GCD of 825, 920, 377, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.