GCD of 523, 980, 944, 905 Calculator

Given Input numbers are 523, 980, 944, 905

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

Divisors of 523

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

1, 523

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 523, 980, 944, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 980, 944, 905 is 1.

Therefore, GCD of numbers 523, 980, 944, 905 is 1

Given Input Data is 523, 980, 944, 905

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

Prime Factorization of 523 is 523

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 905 is 5 x 181

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(523, 980) = 512540

GCD(523, 980) = ( 523 x 980 ) / 512540

GCD(523, 980) = 512540 / 512540

GCD(523, 980) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 523, 980, 944, 905 is 1

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1. What is the GCD of 523, 980, 944, 905?

GCD of 523, 980, 944, 905 is 1

2. Where do I get the detailed procedure to find GCD of 523, 980, 944, 905?

You can find a detailed procedure to find GCD of 523, 980, 944, 905 on our page.

3. How to find GCD of 523, 980, 944, 905 on a calculator?

You can find the GCD of 523, 980, 944, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.