GCD of 938, 512, 773, 643 Calculator

Given Input numbers are 938, 512, 773, 643

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

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

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 938, 512, 773, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 512, 773, 643 is 1.

Therefore, GCD of numbers 938, 512, 773, 643 is 1

Given Input Data is 938, 512, 773, 643

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

Prime Factorization of 938 is 2 x 7 x 67

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

Prime Factorization of 773 is 773

Prime Factorization of 643 is 643

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(938, 512) = 240128

GCD(938, 512) = ( 938 x 512 ) / 240128

GCD(938, 512) = 480256 / 240128

GCD(938, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 773

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

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

GCD(2, 773) = 1546 / 1546

GCD(2, 773) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 938, 512, 773, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 822, 115, 688
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• GCD of 357, 583, 760, 351

1. What is the GCD of 938, 512, 773, 643?

GCD of 938, 512, 773, 643 is 1

2. Where do I get the detailed procedure to find GCD of 938, 512, 773, 643?

You can find a detailed procedure to find GCD of 938, 512, 773, 643 on our page.

3. How to find GCD of 938, 512, 773, 643 on a calculator?

You can find the GCD of 938, 512, 773, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.