GCD of 513, 942, 26, 640 Calculator

Given Input numbers are 513, 942, 26, 640

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 513, 942, 26, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 942, 26, 640 is 1.

Therefore, GCD of numbers 513, 942, 26, 640 is 1

Given Input Data is 513, 942, 26, 640

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 26 is 2 x 13

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(513, 942) = 161082

GCD(513, 942) = ( 513 x 942 ) / 161082

GCD(513, 942) = 483246 / 161082

GCD(513, 942) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 26

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

LCM(3, 26) = 78

GCD(3, 26) = ( 3 x 26 ) / 78

GCD(3, 26) = 78 / 78

GCD(3, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 513, 942, 26, 640 is 1

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1. What is the GCD of 513, 942, 26, 640?

GCD of 513, 942, 26, 640 is 1

2. Where do I get the detailed procedure to find GCD of 513, 942, 26, 640?

You can find a detailed procedure to find GCD of 513, 942, 26, 640 on our page.

3. How to find GCD of 513, 942, 26, 640 on a calculator?

You can find the GCD of 513, 942, 26, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.