GCD of 101, 178, 238, 562 Calculator

Given Input numbers are 101, 178, 238, 562

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

Divisors of 101

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

1, 101

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

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 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 101, 178, 238, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 178, 238, 562 is 1.

Therefore, GCD of numbers 101, 178, 238, 562 is 1

Given Input Data is 101, 178, 238, 562

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

Prime Factorization of 101 is 101

Prime Factorization of 178 is 2 x 89

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 562 is 2 x 281

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(101, 178) = 17978

GCD(101, 178) = ( 101 x 178 ) / 17978

GCD(101, 178) = 17978 / 17978

GCD(101, 178) = 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 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 101, 178, 238, 562 is 1

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1. What is the GCD of 101, 178, 238, 562?

GCD of 101, 178, 238, 562 is 1

2. Where do I get the detailed procedure to find GCD of 101, 178, 238, 562?

You can find a detailed procedure to find GCD of 101, 178, 238, 562 on our page.

3. How to find GCD of 101, 178, 238, 562 on a calculator?

You can find the GCD of 101, 178, 238, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.