GCD of 550, 766, 289, 922 Calculator

Given Input numbers are 550, 766, 289, 922

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 550, 766, 289, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 766, 289, 922 is 1.

Therefore, GCD of numbers 550, 766, 289, 922 is 1

Given Input Data is 550, 766, 289, 922

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 766 is 2 x 383

Prime Factorization of 289 is 17 x 17

Prime Factorization of 922 is 2 x 461

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, 766) = 210650

GCD(550, 766) = ( 550 x 766 ) / 210650

GCD(550, 766) = 421300 / 210650

GCD(550, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 550, 766, 289, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 646, 938, 410
• GCD of 861, 411, 561, 935
• GCD of 165, 788, 874, 885
• GCD of 144, 258, 375, 336
• GCD of 492, 819, 640, 946

1. What is the GCD of 550, 766, 289, 922?

GCD of 550, 766, 289, 922 is 1

2. Where do I get the detailed procedure to find GCD of 550, 766, 289, 922?

You can find a detailed procedure to find GCD of 550, 766, 289, 922 on our page.

3. How to find GCD of 550, 766, 289, 922 on a calculator?

You can find the GCD of 550, 766, 289, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.