GCD of 653, 627, 861, 214 Calculator

Given Input numbers are 653, 627, 861, 214

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 653, 627, 861, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 627, 861, 214 is 1.

Therefore, GCD of numbers 653, 627, 861, 214 is 1

Given Input Data is 653, 627, 861, 214

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

Prime Factorization of 653 is 653

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 214 is 2 x 107

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(653, 627) = 409431

GCD(653, 627) = ( 653 x 627 ) / 409431

GCD(653, 627) = 409431 / 409431

GCD(653, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 653, 627, 861, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 539, 745, 576
• GCD of 328, 272, 802, 707
• GCD of 905, 761, 800, 929
• GCD of 786, 115, 520, 586
• GCD of 822, 631, 995, 245

1. What is the GCD of 653, 627, 861, 214?

GCD of 653, 627, 861, 214 is 1

2. Where do I get the detailed procedure to find GCD of 653, 627, 861, 214?

You can find a detailed procedure to find GCD of 653, 627, 861, 214 on our page.

3. How to find GCD of 653, 627, 861, 214 on a calculator?

You can find the GCD of 653, 627, 861, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.