GCD of 370, 214, 161, 915 Calculator

Given Input numbers are 370, 214, 161, 915

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 370, 214, 161, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 214, 161, 915 is 1.

Therefore, GCD of numbers 370, 214, 161, 915 is 1

Given Input Data is 370, 214, 161, 915

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 214 is 2 x 107

Prime Factorization of 161 is 7 x 23

Prime Factorization of 915 is 3 x 5 x 61

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, 214) = 39590

GCD(370, 214) = ( 370 x 214 ) / 39590

GCD(370, 214) = 79180 / 39590

GCD(370, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 370, 214, 161, 915 is 1

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1. What is the GCD of 370, 214, 161, 915?

GCD of 370, 214, 161, 915 is 1

2. Where do I get the detailed procedure to find GCD of 370, 214, 161, 915?

You can find a detailed procedure to find GCD of 370, 214, 161, 915 on our page.

3. How to find GCD of 370, 214, 161, 915 on a calculator?

You can find the GCD of 370, 214, 161, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.