GCD of 427, 874, 852, 365 Calculator

Given Input numbers are 427, 874, 852, 365

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 427, 874, 852, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 874, 852, 365 is 1.

Therefore, GCD of numbers 427, 874, 852, 365 is 1

Given Input Data is 427, 874, 852, 365

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 365 is 5 x 73

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(427, 874) = 373198

GCD(427, 874) = ( 427 x 874 ) / 373198

GCD(427, 874) = 373198 / 373198

GCD(427, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 427, 874, 852, 365 is 1

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1. What is the GCD of 427, 874, 852, 365?

GCD of 427, 874, 852, 365 is 1

2. Where do I get the detailed procedure to find GCD of 427, 874, 852, 365?

You can find a detailed procedure to find GCD of 427, 874, 852, 365 on our page.

3. How to find GCD of 427, 874, 852, 365 on a calculator?

You can find the GCD of 427, 874, 852, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.