GCD of 238, 693, 190, 101 Calculator

Given Input numbers are 238, 693, 190, 101

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

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 238, 693, 190, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 693, 190, 101 is 1.

Therefore, GCD of numbers 238, 693, 190, 101 is 1

Given Input Data is 238, 693, 190, 101

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 101 is 101

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(238, 693) = 23562

GCD(238, 693) = ( 238 x 693 ) / 23562

GCD(238, 693) = 164934 / 23562

GCD(238, 693) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 190

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

LCM(7, 190) = 1330

GCD(7, 190) = ( 7 x 190 ) / 1330

GCD(7, 190) = 1330 / 1330

GCD(7, 190) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 238, 693, 190, 101 is 1

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1. What is the GCD of 238, 693, 190, 101?

GCD of 238, 693, 190, 101 is 1

2. Where do I get the detailed procedure to find GCD of 238, 693, 190, 101?

You can find a detailed procedure to find GCD of 238, 693, 190, 101 on our page.

3. How to find GCD of 238, 693, 190, 101 on a calculator?

You can find the GCD of 238, 693, 190, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.