GCD of 123, 120, 681, 541 Calculator

Given Input numbers are 123, 120, 681, 541

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

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 123, 120, 681, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 120, 681, 541 is 1.

Therefore, GCD of numbers 123, 120, 681, 541 is 1

Given Input Data is 123, 120, 681, 541

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 681 is 3 x 227

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(123, 120) = 4920

GCD(123, 120) = ( 123 x 120 ) / 4920

GCD(123, 120) = 14760 / 4920

GCD(123, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 681

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

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

GCD(3, 681) = 2043 / 681

GCD(3, 681) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 541

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

LCM(3, 541) = 1623

GCD(3, 541) = ( 3 x 541 ) / 1623

GCD(3, 541) = 1623 / 1623

GCD(3, 541) = 1

GCD of 123, 120, 681, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 624, 945, 558
• GCD of 413, 676, 345, 303
• GCD of 601, 941, 451, 724
• GCD of 388, 678, 758, 198
• GCD of 994, 509, 405, 331

1. What is the GCD of 123, 120, 681, 541?

GCD of 123, 120, 681, 541 is 1

2. Where do I get the detailed procedure to find GCD of 123, 120, 681, 541?

You can find a detailed procedure to find GCD of 123, 120, 681, 541 on our page.

3. How to find GCD of 123, 120, 681, 541 on a calculator?

You can find the GCD of 123, 120, 681, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.