GCD of 731, 625, 101, 216 Calculator

Given Input numbers are 731, 625, 101, 216

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 101

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

1, 101

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 731, 625, 101, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 625, 101, 216 is 1.

Therefore, GCD of numbers 731, 625, 101, 216 is 1

Given Input Data is 731, 625, 101, 216

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 101 is 101

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(731, 625) = 456875

GCD(731, 625) = ( 731 x 625 ) / 456875

GCD(731, 625) = 456875 / 456875

GCD(731, 625) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 731, 625, 101, 216 is 1

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1. What is the GCD of 731, 625, 101, 216?

GCD of 731, 625, 101, 216 is 1

2. Where do I get the detailed procedure to find GCD of 731, 625, 101, 216?

You can find a detailed procedure to find GCD of 731, 625, 101, 216 on our page.

3. How to find GCD of 731, 625, 101, 216 on a calculator?

You can find the GCD of 731, 625, 101, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.