GCD of 945, 659, 957, 506 Calculator

Given Input numbers are 945, 659, 957, 506

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

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 945, 659, 957, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 659, 957, 506 is 1.

Therefore, GCD of numbers 945, 659, 957, 506 is 1

Given Input Data is 945, 659, 957, 506

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

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

Prime Factorization of 659 is 659

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 506 is 2 x 11 x 23

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(945, 659) = 622755

GCD(945, 659) = ( 945 x 659 ) / 622755

GCD(945, 659) = 622755 / 622755

GCD(945, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 945, 659, 957, 506 is 1

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1. What is the GCD of 945, 659, 957, 506?

GCD of 945, 659, 957, 506 is 1

2. Where do I get the detailed procedure to find GCD of 945, 659, 957, 506?

You can find a detailed procedure to find GCD of 945, 659, 957, 506 on our page.

3. How to find GCD of 945, 659, 957, 506 on a calculator?

You can find the GCD of 945, 659, 957, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.