GCD of 207, 998, 53, 920 Calculator

Given Input numbers are 207, 998, 53, 920

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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

Greatest Common Divisior

We found the divisors of 207, 998, 53, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 998, 53, 920 is 1.

Therefore, GCD of numbers 207, 998, 53, 920 is 1

Given Input Data is 207, 998, 53, 920

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 998 is 2 x 499

Prime Factorization of 53 is 53

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

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(207, 998) = 206586

GCD(207, 998) = ( 207 x 998 ) / 206586

GCD(207, 998) = 206586 / 206586

GCD(207, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 207, 998, 53, 920 is 1

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1. What is the GCD of 207, 998, 53, 920?

GCD of 207, 998, 53, 920 is 1

2. Where do I get the detailed procedure to find GCD of 207, 998, 53, 920?

You can find a detailed procedure to find GCD of 207, 998, 53, 920 on our page.

3. How to find GCD of 207, 998, 53, 920 on a calculator?

You can find the GCD of 207, 998, 53, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.