GCD of 461, 122, 55, 730 Calculator

Given Input numbers are 461, 122, 55, 730

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

Divisors of 461

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

1, 461

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 461, 122, 55, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 122, 55, 730 is 1.

Therefore, GCD of numbers 461, 122, 55, 730 is 1

Given Input Data is 461, 122, 55, 730

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

Prime Factorization of 461 is 461

Prime Factorization of 122 is 2 x 61

Prime Factorization of 55 is 5 x 11

Prime Factorization of 730 is 2 x 5 x 73

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(461, 122) = 56242

GCD(461, 122) = ( 461 x 122 ) / 56242

GCD(461, 122) = 56242 / 56242

GCD(461, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 461, 122, 55, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 580, 21, 462
• GCD of 968, 719, 69, 792
• GCD of 121, 142, 35, 786
• GCD of 782, 609, 26, 264
• GCD of 472, 754, 21, 389

1. What is the GCD of 461, 122, 55, 730?

GCD of 461, 122, 55, 730 is 1

2. Where do I get the detailed procedure to find GCD of 461, 122, 55, 730?

You can find a detailed procedure to find GCD of 461, 122, 55, 730 on our page.

3. How to find GCD of 461, 122, 55, 730 on a calculator?

You can find the GCD of 461, 122, 55, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.