GCD of 370, 516, 457, 852 Calculator

Given Input numbers are 370, 516, 457, 852

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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

Greatest Common Divisior

We found the divisors of 370, 516, 457, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 516, 457, 852 is 1.

Therefore, GCD of numbers 370, 516, 457, 852 is 1

Given Input Data is 370, 516, 457, 852

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 457 is 457

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

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(370, 516) = 95460

GCD(370, 516) = ( 370 x 516 ) / 95460

GCD(370, 516) = 190920 / 95460

GCD(370, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 457

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

LCM(2, 457) = 914

GCD(2, 457) = ( 2 x 457 ) / 914

GCD(2, 457) = 914 / 914

GCD(2, 457) = 1

Step3:

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

GCD of 370, 516, 457, 852 is 1

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1. What is the GCD of 370, 516, 457, 852?

GCD of 370, 516, 457, 852 is 1

2. Where do I get the detailed procedure to find GCD of 370, 516, 457, 852?

You can find a detailed procedure to find GCD of 370, 516, 457, 852 on our page.

3. How to find GCD of 370, 516, 457, 852 on a calculator?

You can find the GCD of 370, 516, 457, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.