GCD of 689, 242, 614, 553 Calculator

Given Input numbers are 689, 242, 614, 553

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 689, 242, 614, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 242, 614, 553 is 1.

Therefore, GCD of numbers 689, 242, 614, 553 is 1

Given Input Data is 689, 242, 614, 553

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 614 is 2 x 307

Prime Factorization of 553 is 7 x 79

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(689, 242) = 166738

GCD(689, 242) = ( 689 x 242 ) / 166738

GCD(689, 242) = 166738 / 166738

GCD(689, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 689, 242, 614, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 633, 981, 351
• GCD of 114, 876, 692, 241
• GCD of 808, 875, 451, 305
• GCD of 812, 794, 571, 926
• GCD of 324, 946, 779, 208

1. What is the GCD of 689, 242, 614, 553?

GCD of 689, 242, 614, 553 is 1

2. Where do I get the detailed procedure to find GCD of 689, 242, 614, 553?

You can find a detailed procedure to find GCD of 689, 242, 614, 553 on our page.

3. How to find GCD of 689, 242, 614, 553 on a calculator?

You can find the GCD of 689, 242, 614, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.