GCD of 407, 938, 396, 514 Calculator

Given Input numbers are 407, 938, 396, 514

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 407, 938, 396, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 938, 396, 514 is 1.

Therefore, GCD of numbers 407, 938, 396, 514 is 1

Given Input Data is 407, 938, 396, 514

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 514 is 2 x 257

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(407, 938) = 381766

GCD(407, 938) = ( 407 x 938 ) / 381766

GCD(407, 938) = 381766 / 381766

GCD(407, 938) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 407, 938, 396, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 155, 444, 206
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• GCD of 509, 776, 302, 396

1. What is the GCD of 407, 938, 396, 514?

GCD of 407, 938, 396, 514 is 1

2. Where do I get the detailed procedure to find GCD of 407, 938, 396, 514?

You can find a detailed procedure to find GCD of 407, 938, 396, 514 on our page.

3. How to find GCD of 407, 938, 396, 514 on a calculator?

You can find the GCD of 407, 938, 396, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.