GCD of 157, 730, 839, 342 Calculator

Given Input numbers are 157, 730, 839, 342

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

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

Greatest Common Divisior

We found the divisors of 157, 730, 839, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 730, 839, 342 is 1.

Therefore, GCD of numbers 157, 730, 839, 342 is 1

Given Input Data is 157, 730, 839, 342

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

Prime Factorization of 157 is 157

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 839 is 839

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

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(157, 730) = 114610

GCD(157, 730) = ( 157 x 730 ) / 114610

GCD(157, 730) = 114610 / 114610

GCD(157, 730) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

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

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 157, 730, 839, 342 is 1

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1. What is the GCD of 157, 730, 839, 342?

GCD of 157, 730, 839, 342 is 1

2. Where do I get the detailed procedure to find GCD of 157, 730, 839, 342?

You can find a detailed procedure to find GCD of 157, 730, 839, 342 on our page.

3. How to find GCD of 157, 730, 839, 342 on a calculator?

You can find the GCD of 157, 730, 839, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.