GCD of 77, 538, 323, 541 Calculator

Given Input numbers are 77, 538, 323, 541

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

Divisors of 77

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

1, 7, 11, 77

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 77, 538, 323, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 538, 323, 541 is 1.

Therefore, GCD of numbers 77, 538, 323, 541 is 1

Given Input Data is 77, 538, 323, 541

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 538 is 2 x 269

Prime Factorization of 323 is 17 x 19

Prime Factorization of 541 is 541

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(77, 538) = 41426

GCD(77, 538) = ( 77 x 538 ) / 41426

GCD(77, 538) = 41426 / 41426

GCD(77, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 77, 538, 323, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 226, 170, 431
• GCD of 45, 565, 266, 961
• GCD of 14, 738, 286, 730
• GCD of 35, 323, 595, 924
• GCD of 37, 225, 679, 593

1. What is the GCD of 77, 538, 323, 541?

GCD of 77, 538, 323, 541 is 1

2. Where do I get the detailed procedure to find GCD of 77, 538, 323, 541?

You can find a detailed procedure to find GCD of 77, 538, 323, 541 on our page.

3. How to find GCD of 77, 538, 323, 541 on a calculator?

You can find the GCD of 77, 538, 323, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.