GCD of 342, 695, 118, 150 Calculator

Given Input numbers are 342, 695, 118, 150

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 342, 695, 118, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 695, 118, 150 is 1.

Therefore, GCD of numbers 342, 695, 118, 150 is 1

Given Input Data is 342, 695, 118, 150

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 695 is 5 x 139

Prime Factorization of 118 is 2 x 59

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(342, 695) = 237690

GCD(342, 695) = ( 342 x 695 ) / 237690

GCD(342, 695) = 237690 / 237690

GCD(342, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 342, 695, 118, 150 is 1

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1. What is the GCD of 342, 695, 118, 150?

GCD of 342, 695, 118, 150 is 1

2. Where do I get the detailed procedure to find GCD of 342, 695, 118, 150?

You can find a detailed procedure to find GCD of 342, 695, 118, 150 on our page.

3. How to find GCD of 342, 695, 118, 150 on a calculator?

You can find the GCD of 342, 695, 118, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.