GCD of 805, 371, 547, 152 Calculator

Given Input numbers are 805, 371, 547, 152

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 805, 371, 547, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 371, 547, 152 is 1.

Therefore, GCD of numbers 805, 371, 547, 152 is 1

Given Input Data is 805, 371, 547, 152

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 371 is 7 x 53

Prime Factorization of 547 is 547

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(805, 371) = 42665

GCD(805, 371) = ( 805 x 371 ) / 42665

GCD(805, 371) = 298655 / 42665

GCD(805, 371) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 547

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

LCM(7, 547) = 3829

GCD(7, 547) = ( 7 x 547 ) / 3829

GCD(7, 547) = 3829 / 3829

GCD(7, 547) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 805, 371, 547, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 575, 425, 458
• GCD of 806, 284, 114, 977
• GCD of 137, 797, 129, 647
• GCD of 627, 949, 222, 479
• GCD of 907, 473, 694, 438

1. What is the GCD of 805, 371, 547, 152?

GCD of 805, 371, 547, 152 is 1

2. Where do I get the detailed procedure to find GCD of 805, 371, 547, 152?

You can find a detailed procedure to find GCD of 805, 371, 547, 152 on our page.

3. How to find GCD of 805, 371, 547, 152 on a calculator?

You can find the GCD of 805, 371, 547, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.