GCD of 938, 922, 717, 462 Calculator

Given Input numbers are 938, 922, 717, 462

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 938, 922, 717, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 922, 717, 462 is 1.

Therefore, GCD of numbers 938, 922, 717, 462 is 1

Given Input Data is 938, 922, 717, 462

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 922 is 2 x 461

Prime Factorization of 717 is 3 x 239

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 922) = 432418

GCD(938, 922) = ( 938 x 922 ) / 432418

GCD(938, 922) = 864836 / 432418

GCD(938, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 717

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

LCM(2, 717) = 1434

GCD(2, 717) = ( 2 x 717 ) / 1434

GCD(2, 717) = 1434 / 1434

GCD(2, 717) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 938, 922, 717, 462 is 1

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1. What is the GCD of 938, 922, 717, 462?

GCD of 938, 922, 717, 462 is 1

2. Where do I get the detailed procedure to find GCD of 938, 922, 717, 462?

You can find a detailed procedure to find GCD of 938, 922, 717, 462 on our page.

3. How to find GCD of 938, 922, 717, 462 on a calculator?

You can find the GCD of 938, 922, 717, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.