GCD of 295, 507, 58, 387 Calculator

Given Input numbers are 295, 507, 58, 387

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 295, 507, 58, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 507, 58, 387 is 1.

Therefore, GCD of numbers 295, 507, 58, 387 is 1

Given Input Data is 295, 507, 58, 387

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 58 is 2 x 29

Prime Factorization of 387 is 3 x 3 x 43

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(295, 507) = 149565

GCD(295, 507) = ( 295 x 507 ) / 149565

GCD(295, 507) = 149565 / 149565

GCD(295, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 295, 507, 58, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 136, 83, 860
• GCD of 451, 769, 91, 399
• GCD of 388, 733, 32, 831
• GCD of 618, 754, 74, 792
• GCD of 359, 782, 40, 430

1. What is the GCD of 295, 507, 58, 387?

GCD of 295, 507, 58, 387 is 1

2. Where do I get the detailed procedure to find GCD of 295, 507, 58, 387?

You can find a detailed procedure to find GCD of 295, 507, 58, 387 on our page.

3. How to find GCD of 295, 507, 58, 387 on a calculator?

You can find the GCD of 295, 507, 58, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.