GCD of 550, 221, 689, 960 Calculator

Given Input numbers are 550, 221, 689, 960

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

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 550, 221, 689, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 221, 689, 960 is 1.

Therefore, GCD of numbers 550, 221, 689, 960 is 1

Given Input Data is 550, 221, 689, 960

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

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 689 is 13 x 53

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(550, 221) = 121550

GCD(550, 221) = ( 550 x 221 ) / 121550

GCD(550, 221) = 121550 / 121550

GCD(550, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 550, 221, 689, 960 is 1

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1. What is the GCD of 550, 221, 689, 960?

GCD of 550, 221, 689, 960 is 1

2. Where do I get the detailed procedure to find GCD of 550, 221, 689, 960?

You can find a detailed procedure to find GCD of 550, 221, 689, 960 on our page.

3. How to find GCD of 550, 221, 689, 960 on a calculator?

You can find the GCD of 550, 221, 689, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.