GCD of 967, 900, 395, 993 Calculator

Given Input numbers are 967, 900, 395, 993

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 967, 900, 395, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 900, 395, 993 is 1.

Therefore, GCD of numbers 967, 900, 395, 993 is 1

Given Input Data is 967, 900, 395, 993

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

Prime Factorization of 967 is 967

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 395 is 5 x 79

Prime Factorization of 993 is 3 x 331

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(967, 900) = 870300

GCD(967, 900) = ( 967 x 900 ) / 870300

GCD(967, 900) = 870300 / 870300

GCD(967, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 967, 900, 395, 993 is 1

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1. What is the GCD of 967, 900, 395, 993?

GCD of 967, 900, 395, 993 is 1

2. Where do I get the detailed procedure to find GCD of 967, 900, 395, 993?

You can find a detailed procedure to find GCD of 967, 900, 395, 993 on our page.

3. How to find GCD of 967, 900, 395, 993 on a calculator?

You can find the GCD of 967, 900, 395, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.