GCD of 853, 755, 238, 342 Calculator

Given Input numbers are 853, 755, 238, 342

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 853, 755, 238, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 755, 238, 342 is 1.

Therefore, GCD of numbers 853, 755, 238, 342 is 1

Given Input Data is 853, 755, 238, 342

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

Prime Factorization of 853 is 853

Prime Factorization of 755 is 5 x 151

Prime Factorization of 238 is 2 x 7 x 17

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(853, 755) = 644015

GCD(853, 755) = ( 853 x 755 ) / 644015

GCD(853, 755) = 644015 / 644015

GCD(853, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 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 853, 755, 238, 342 is 1

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1. What is the GCD of 853, 755, 238, 342?

GCD of 853, 755, 238, 342 is 1

2. Where do I get the detailed procedure to find GCD of 853, 755, 238, 342?

You can find a detailed procedure to find GCD of 853, 755, 238, 342 on our page.

3. How to find GCD of 853, 755, 238, 342 on a calculator?

You can find the GCD of 853, 755, 238, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.