GCD of 613, 146, 523, 945 Calculator

Given Input numbers are 613, 146, 523, 945

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

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 523

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

1, 523

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 613, 146, 523, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 146, 523, 945 is 1.

Therefore, GCD of numbers 613, 146, 523, 945 is 1

Given Input Data is 613, 146, 523, 945

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

Prime Factorization of 613 is 613

Prime Factorization of 146 is 2 x 73

Prime Factorization of 523 is 523

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(613, 146) = 89498

GCD(613, 146) = ( 613 x 146 ) / 89498

GCD(613, 146) = 89498 / 89498

GCD(613, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 613, 146, 523, 945 is 1

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1. What is the GCD of 613, 146, 523, 945?

GCD of 613, 146, 523, 945 is 1

2. Where do I get the detailed procedure to find GCD of 613, 146, 523, 945?

You can find a detailed procedure to find GCD of 613, 146, 523, 945 on our page.

3. How to find GCD of 613, 146, 523, 945 on a calculator?

You can find the GCD of 613, 146, 523, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.