GCD of 38, 655, 760, 407 Calculator

Given Input numbers are 38, 655, 760, 407

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 407

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

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 38, 655, 760, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 655, 760, 407 is 1.

Therefore, GCD of numbers 38, 655, 760, 407 is 1

Given Input Data is 38, 655, 760, 407

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 655 is 5 x 131

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 407 is 11 x 37

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(38, 655) = 24890

GCD(38, 655) = ( 38 x 655 ) / 24890

GCD(38, 655) = 24890 / 24890

GCD(38, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 38, 655, 760, 407 is 1

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• GCD of 55, 318, 895, 893
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1. What is the GCD of 38, 655, 760, 407?

GCD of 38, 655, 760, 407 is 1

2. Where do I get the detailed procedure to find GCD of 38, 655, 760, 407?

You can find a detailed procedure to find GCD of 38, 655, 760, 407 on our page.

3. How to find GCD of 38, 655, 760, 407 on a calculator?

You can find the GCD of 38, 655, 760, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.