GCD of 824, 697, 542, 135 Calculator

Given Input numbers are 824, 697, 542, 135

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 824, 697, 542, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 697, 542, 135 is 1.

Therefore, GCD of numbers 824, 697, 542, 135 is 1

Given Input Data is 824, 697, 542, 135

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 697 is 17 x 41

Prime Factorization of 542 is 2 x 271

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(824, 697) = 574328

GCD(824, 697) = ( 824 x 697 ) / 574328

GCD(824, 697) = 574328 / 574328

GCD(824, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 824, 697, 542, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 497, 665, 607
• GCD of 545, 244, 446, 244
• GCD of 286, 658, 320, 454
• GCD of 378, 397, 251, 125
• GCD of 910, 414, 890, 984

1. What is the GCD of 824, 697, 542, 135?

GCD of 824, 697, 542, 135 is 1

2. Where do I get the detailed procedure to find GCD of 824, 697, 542, 135?

You can find a detailed procedure to find GCD of 824, 697, 542, 135 on our page.

3. How to find GCD of 824, 697, 542, 135 on a calculator?

You can find the GCD of 824, 697, 542, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.