GCD of 370, 116, 223, 105 Calculator

Given Input numbers are 370, 116, 223, 105

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 370, 116, 223, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 116, 223, 105 is 1.

Therefore, GCD of numbers 370, 116, 223, 105 is 1

Given Input Data is 370, 116, 223, 105

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 116 is 2 x 2 x 29

Prime Factorization of 223 is 223

Prime Factorization of 105 is 3 x 5 x 7

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, 116) = 21460

GCD(370, 116) = ( 370 x 116 ) / 21460

GCD(370, 116) = 42920 / 21460

GCD(370, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 223

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

LCM(2, 223) = 446

GCD(2, 223) = ( 2 x 223 ) / 446

GCD(2, 223) = 446 / 446

GCD(2, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 370, 116, 223, 105 is 1

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1. What is the GCD of 370, 116, 223, 105?

GCD of 370, 116, 223, 105 is 1

2. Where do I get the detailed procedure to find GCD of 370, 116, 223, 105?

You can find a detailed procedure to find GCD of 370, 116, 223, 105 on our page.

3. How to find GCD of 370, 116, 223, 105 on a calculator?

You can find the GCD of 370, 116, 223, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.