GCD of 84, 345, 505, 238 Calculator

Given Input numbers are 84, 345, 505, 238

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 238

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

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

Greatest Common Divisior

We found the divisors of 84, 345, 505, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 345, 505, 238 is 1.

Therefore, GCD of numbers 84, 345, 505, 238 is 1

Given Input Data is 84, 345, 505, 238

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 505 is 5 x 101

Prime Factorization of 238 is 2 x 7 x 17

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(84, 345) = 9660

GCD(84, 345) = ( 84 x 345 ) / 9660

GCD(84, 345) = 28980 / 9660

GCD(84, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

Step3:

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

GCD of 84, 345, 505, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 315, 535, 673
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• GCD of 83, 930, 568, 343
• GCD of 11, 703, 885, 825
• GCD of 88, 558, 579, 628

1. What is the GCD of 84, 345, 505, 238?

GCD of 84, 345, 505, 238 is 1

2. Where do I get the detailed procedure to find GCD of 84, 345, 505, 238?

You can find a detailed procedure to find GCD of 84, 345, 505, 238 on our page.

3. How to find GCD of 84, 345, 505, 238 on a calculator?

You can find the GCD of 84, 345, 505, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.