GCD of 200, 761, 97, 820 Calculator

Given Input numbers are 200, 761, 97, 820

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

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 200, 761, 97, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 761, 97, 820 is 1.

Therefore, GCD of numbers 200, 761, 97, 820 is 1

Given Input Data is 200, 761, 97, 820

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 761 is 761

Prime Factorization of 97 is 97

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(200, 761) = 152200

GCD(200, 761) = ( 200 x 761 ) / 152200

GCD(200, 761) = 152200 / 152200

GCD(200, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 200, 761, 97, 820 is 1

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1. What is the GCD of 200, 761, 97, 820?

GCD of 200, 761, 97, 820 is 1

2. Where do I get the detailed procedure to find GCD of 200, 761, 97, 820?

You can find a detailed procedure to find GCD of 200, 761, 97, 820 on our page.

3. How to find GCD of 200, 761, 97, 820 on a calculator?

You can find the GCD of 200, 761, 97, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.