GCD of 370, 119, 251, 296 Calculator

Given Input numbers are 370, 119, 251, 296

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 370, 119, 251, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 119, 251, 296 is 1.

Therefore, GCD of numbers 370, 119, 251, 296 is 1

Given Input Data is 370, 119, 251, 296

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 119 is 7 x 17

Prime Factorization of 251 is 251

Prime Factorization of 296 is 2 x 2 x 2 x 37

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, 119) = 44030

GCD(370, 119) = ( 370 x 119 ) / 44030

GCD(370, 119) = 44030 / 44030

GCD(370, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 370, 119, 251, 296 is 1

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1. What is the GCD of 370, 119, 251, 296?

GCD of 370, 119, 251, 296 is 1

2. Where do I get the detailed procedure to find GCD of 370, 119, 251, 296?

You can find a detailed procedure to find GCD of 370, 119, 251, 296 on our page.

3. How to find GCD of 370, 119, 251, 296 on a calculator?

You can find the GCD of 370, 119, 251, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.