GCD of 114, 635, 34, 370 Calculator

Given Input numbers are 114, 635, 34, 370

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 370

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

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

Greatest Common Divisior

We found the divisors of 114, 635, 34, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 635, 34, 370 is 1.

Therefore, GCD of numbers 114, 635, 34, 370 is 1

Given Input Data is 114, 635, 34, 370

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 635 is 5 x 127

Prime Factorization of 34 is 2 x 17

Prime Factorization of 370 is 2 x 5 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(114, 635) = 72390

GCD(114, 635) = ( 114 x 635 ) / 72390

GCD(114, 635) = 72390 / 72390

GCD(114, 635) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 114, 635, 34, 370 is 1

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1. What is the GCD of 114, 635, 34, 370?

GCD of 114, 635, 34, 370 is 1

2. Where do I get the detailed procedure to find GCD of 114, 635, 34, 370?

You can find a detailed procedure to find GCD of 114, 635, 34, 370 on our page.

3. How to find GCD of 114, 635, 34, 370 on a calculator?

You can find the GCD of 114, 635, 34, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.