GCD of 411, 507, 460, 121 Calculator

Given Input numbers are 411, 507, 460, 121

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

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 411, 507, 460, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 411, 507, 460, 121 is 1.

Therefore, GCD of numbers 411, 507, 460, 121 is 1

Given Input Data is 411, 507, 460, 121

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

Prime Factorization of 411 is 3 x 137

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 121 is 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(411, 507) = 69459

GCD(411, 507) = ( 411 x 507 ) / 69459

GCD(411, 507) = 208377 / 69459

GCD(411, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 460

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

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

GCD(3, 460) = 1380 / 1380

GCD(3, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 411, 507, 460, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 934, 996, 203
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• GCD of 804, 937, 555, 731
• GCD of 147, 652, 983, 657

1. What is the GCD of 411, 507, 460, 121?

GCD of 411, 507, 460, 121 is 1

2. Where do I get the detailed procedure to find GCD of 411, 507, 460, 121?

You can find a detailed procedure to find GCD of 411, 507, 460, 121 on our page.

3. How to find GCD of 411, 507, 460, 121 on a calculator?

You can find the GCD of 411, 507, 460, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.