GCD of 370, 122, 278, 395 Calculator

Given Input numbers are 370, 122, 278, 395

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 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 370, 122, 278, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 122, 278, 395 is 1.

Therefore, GCD of numbers 370, 122, 278, 395 is 1

Given Input Data is 370, 122, 278, 395

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 122 is 2 x 61

Prime Factorization of 278 is 2 x 139

Prime Factorization of 395 is 5 x 79

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, 122) = 22570

GCD(370, 122) = ( 370 x 122 ) / 22570

GCD(370, 122) = 45140 / 22570

GCD(370, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

GCD of 370, 122, 278, 395 is 1

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1. What is the GCD of 370, 122, 278, 395?

GCD of 370, 122, 278, 395 is 1

2. Where do I get the detailed procedure to find GCD of 370, 122, 278, 395?

You can find a detailed procedure to find GCD of 370, 122, 278, 395 on our page.

3. How to find GCD of 370, 122, 278, 395 on a calculator?

You can find the GCD of 370, 122, 278, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.