GCD of 926, 550, 523, 289 Calculator

Given Input numbers are 926, 550, 523, 289

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

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 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 289

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

1, 17, 289

Greatest Common Divisior

We found the divisors of 926, 550, 523, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 550, 523, 289 is 1.

Therefore, GCD of numbers 926, 550, 523, 289 is 1

Given Input Data is 926, 550, 523, 289

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

Prime Factorization of 926 is 2 x 463

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

Prime Factorization of 523 is 523

Prime Factorization of 289 is 17 x 17

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(926, 550) = 254650

GCD(926, 550) = ( 926 x 550 ) / 254650

GCD(926, 550) = 509300 / 254650

GCD(926, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 523

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

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

GCD(2, 523) = 1046 / 1046

GCD(2, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 926, 550, 523, 289 is 1

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1. What is the GCD of 926, 550, 523, 289?

GCD of 926, 550, 523, 289 is 1

2. Where do I get the detailed procedure to find GCD of 926, 550, 523, 289?

You can find a detailed procedure to find GCD of 926, 550, 523, 289 on our page.

3. How to find GCD of 926, 550, 523, 289 on a calculator?

You can find the GCD of 926, 550, 523, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.