GCD of 945, 763, 18, 512 Calculator

Given Input numbers are 945, 763, 18, 512

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 945, 763, 18, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 763, 18, 512 is 1.

Therefore, GCD of numbers 945, 763, 18, 512 is 1

Given Input Data is 945, 763, 18, 512

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 763 is 7 x 109

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 763) = 103005

GCD(945, 763) = ( 945 x 763 ) / 103005

GCD(945, 763) = 721035 / 103005

GCD(945, 763) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 18

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

LCM(7, 18) = 126

GCD(7, 18) = ( 7 x 18 ) / 126

GCD(7, 18) = 126 / 126

GCD(7, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 945, 763, 18, 512 is 1

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• GCD of 261, 626, 83, 609
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• GCD of 408, 318, 27, 987

1. What is the GCD of 945, 763, 18, 512?

GCD of 945, 763, 18, 512 is 1

2. Where do I get the detailed procedure to find GCD of 945, 763, 18, 512?

You can find a detailed procedure to find GCD of 945, 763, 18, 512 on our page.

3. How to find GCD of 945, 763, 18, 512 on a calculator?

You can find the GCD of 945, 763, 18, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.