GCD of 843, 525, 77, 242 Calculator

Given Input numbers are 843, 525, 77, 242

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

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 242

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

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 843, 525, 77, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 525, 77, 242 is 1.

Therefore, GCD of numbers 843, 525, 77, 242 is 1

Given Input Data is 843, 525, 77, 242

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

Prime Factorization of 843 is 3 x 281

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 242 is 2 x 11 x 11

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(843, 525) = 147525

GCD(843, 525) = ( 843 x 525 ) / 147525

GCD(843, 525) = 442575 / 147525

GCD(843, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 843, 525, 77, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 832, 97, 799
• GCD of 217, 798, 54, 501
• GCD of 342, 404, 14, 963
• GCD of 774, 526, 23, 378
• GCD of 744, 529, 91, 955

1. What is the GCD of 843, 525, 77, 242?

GCD of 843, 525, 77, 242 is 1

2. Where do I get the detailed procedure to find GCD of 843, 525, 77, 242?

You can find a detailed procedure to find GCD of 843, 525, 77, 242 on our page.

3. How to find GCD of 843, 525, 77, 242 on a calculator?

You can find the GCD of 843, 525, 77, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.