GCD of 689, 622, 735, 136 Calculator

Given Input numbers are 689, 622, 735, 136

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 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 689, 622, 735, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 622, 735, 136 is 1.

Therefore, GCD of numbers 689, 622, 735, 136 is 1

Given Input Data is 689, 622, 735, 136

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 622 is 2 x 311

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 136 is 2 x 2 x 2 x 17

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, 622) = 428558

GCD(689, 622) = ( 689 x 622 ) / 428558

GCD(689, 622) = 428558 / 428558

GCD(689, 622) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 689, 622, 735, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 499, 101, 600
• GCD of 401, 111, 128, 133
• GCD of 951, 531, 789, 972
• GCD of 635, 612, 202, 661
• GCD of 496, 475, 563, 580

1. What is the GCD of 689, 622, 735, 136?

GCD of 689, 622, 735, 136 is 1

2. Where do I get the detailed procedure to find GCD of 689, 622, 735, 136?

You can find a detailed procedure to find GCD of 689, 622, 735, 136 on our page.

3. How to find GCD of 689, 622, 735, 136 on a calculator?

You can find the GCD of 689, 622, 735, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.