GCD of 975, 967, 444, 200 Calculator

Given Input numbers are 975, 967, 444, 200

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 967

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

1, 967

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 975, 967, 444, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 967, 444, 200 is 1.

Therefore, GCD of numbers 975, 967, 444, 200 is 1

Given Input Data is 975, 967, 444, 200

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 967 is 967

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 200 is 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(975, 967) = 942825

GCD(975, 967) = ( 975 x 967 ) / 942825

GCD(975, 967) = 942825 / 942825

GCD(975, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 975, 967, 444, 200 is 1

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1. What is the GCD of 975, 967, 444, 200?

GCD of 975, 967, 444, 200 is 1

2. Where do I get the detailed procedure to find GCD of 975, 967, 444, 200?

You can find a detailed procedure to find GCD of 975, 967, 444, 200 on our page.

3. How to find GCD of 975, 967, 444, 200 on a calculator?

You can find the GCD of 975, 967, 444, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.