GCD of 11, 507, 461, 748 Calculator

Given Input numbers are 11, 507, 461, 748

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 11, 507, 461, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 507, 461, 748 is 1.

Therefore, GCD of numbers 11, 507, 461, 748 is 1

Given Input Data is 11, 507, 461, 748

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

Prime Factorization of 11 is 11

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 461 is 461

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(11, 507) = 5577

GCD(11, 507) = ( 11 x 507 ) / 5577

GCD(11, 507) = 5577 / 5577

GCD(11, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 11, 507, 461, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 403, 143, 331
• GCD of 98, 608, 264, 816
• GCD of 17, 687, 528, 185
• GCD of 34, 317, 995, 144
• GCD of 46, 379, 676, 186

1. What is the GCD of 11, 507, 461, 748?

GCD of 11, 507, 461, 748 is 1

2. Where do I get the detailed procedure to find GCD of 11, 507, 461, 748?

You can find a detailed procedure to find GCD of 11, 507, 461, 748 on our page.

3. How to find GCD of 11, 507, 461, 748 on a calculator?

You can find the GCD of 11, 507, 461, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.