GCD of 101, 217, 739, 189 Calculator

Given Input numbers are 101, 217, 739, 189

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 101, 217, 739, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 217, 739, 189 is 1.

Therefore, GCD of numbers 101, 217, 739, 189 is 1

Given Input Data is 101, 217, 739, 189

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

Prime Factorization of 101 is 101

Prime Factorization of 217 is 7 x 31

Prime Factorization of 739 is 739

Prime Factorization of 189 is 3 x 3 x 3 x 7

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, 217) = 21917

GCD(101, 217) = ( 101 x 217 ) / 21917

GCD(101, 217) = 21917 / 21917

GCD(101, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 101, 217, 739, 189 is 1

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1. What is the GCD of 101, 217, 739, 189?

GCD of 101, 217, 739, 189 is 1

2. Where do I get the detailed procedure to find GCD of 101, 217, 739, 189?

You can find a detailed procedure to find GCD of 101, 217, 739, 189 on our page.

3. How to find GCD of 101, 217, 739, 189 on a calculator?

You can find the GCD of 101, 217, 739, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.