GCD of 401, 550, 990, 757 Calculator

Given Input numbers are 401, 550, 990, 757

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 401, 550, 990, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 550, 990, 757 is 1.

Therefore, GCD of numbers 401, 550, 990, 757 is 1

Given Input Data is 401, 550, 990, 757

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

Prime Factorization of 401 is 401

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 757 is 757

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(401, 550) = 220550

GCD(401, 550) = ( 401 x 550 ) / 220550

GCD(401, 550) = 220550 / 220550

GCD(401, 550) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 401, 550, 990, 757 is 1

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1. What is the GCD of 401, 550, 990, 757?

GCD of 401, 550, 990, 757 is 1

2. Where do I get the detailed procedure to find GCD of 401, 550, 990, 757?

You can find a detailed procedure to find GCD of 401, 550, 990, 757 on our page.

3. How to find GCD of 401, 550, 990, 757 on a calculator?

You can find the GCD of 401, 550, 990, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.