GCD of 380, 872, 53, 991 Calculator

Given Input numbers are 380, 872, 53, 991

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 53

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

1, 53

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 380, 872, 53, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 872, 53, 991 is 1.

Therefore, GCD of numbers 380, 872, 53, 991 is 1

Given Input Data is 380, 872, 53, 991

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 53 is 53

Prime Factorization of 991 is 991

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(380, 872) = 82840

GCD(380, 872) = ( 380 x 872 ) / 82840

GCD(380, 872) = 331360 / 82840

GCD(380, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 380, 872, 53, 991 is 1

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1. What is the GCD of 380, 872, 53, 991?

GCD of 380, 872, 53, 991 is 1

2. Where do I get the detailed procedure to find GCD of 380, 872, 53, 991?

You can find a detailed procedure to find GCD of 380, 872, 53, 991 on our page.

3. How to find GCD of 380, 872, 53, 991 on a calculator?

You can find the GCD of 380, 872, 53, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.