GCD of 947, 145, 372, 800 Calculator

Given Input numbers are 947, 145, 372, 800

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

Divisors of 947

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

1, 947

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 947, 145, 372, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 145, 372, 800 is 1.

Therefore, GCD of numbers 947, 145, 372, 800 is 1

Given Input Data is 947, 145, 372, 800

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

Prime Factorization of 947 is 947

Prime Factorization of 145 is 5 x 29

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(947, 145) = 137315

GCD(947, 145) = ( 947 x 145 ) / 137315

GCD(947, 145) = 137315 / 137315

GCD(947, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 947, 145, 372, 800 is 1

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1. What is the GCD of 947, 145, 372, 800?

GCD of 947, 145, 372, 800 is 1

2. Where do I get the detailed procedure to find GCD of 947, 145, 372, 800?

You can find a detailed procedure to find GCD of 947, 145, 372, 800 on our page.

3. How to find GCD of 947, 145, 372, 800 on a calculator?

You can find the GCD of 947, 145, 372, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.