GCD of 997, 909, 380, 741 Calculator

Given Input numbers are 997, 909, 380, 741

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 997, 909, 380, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 909, 380, 741 is 1.

Therefore, GCD of numbers 997, 909, 380, 741 is 1

Given Input Data is 997, 909, 380, 741

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

Prime Factorization of 997 is 997

Prime Factorization of 909 is 3 x 3 x 101

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

Prime Factorization of 741 is 3 x 13 x 19

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(997, 909) = 906273

GCD(997, 909) = ( 997 x 909 ) / 906273

GCD(997, 909) = 906273 / 906273

GCD(997, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 997, 909, 380, 741 is 1

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1. What is the GCD of 997, 909, 380, 741?

GCD of 997, 909, 380, 741 is 1

2. Where do I get the detailed procedure to find GCD of 997, 909, 380, 741?

You can find a detailed procedure to find GCD of 997, 909, 380, 741 on our page.

3. How to find GCD of 997, 909, 380, 741 on a calculator?

You can find the GCD of 997, 909, 380, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.