GCD of 461, 961, 30, 775 Calculator

Given Input numbers are 461, 961, 30, 775

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 461, 961, 30, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 961, 30, 775 is 1.

Therefore, GCD of numbers 461, 961, 30, 775 is 1

Given Input Data is 461, 961, 30, 775

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

Prime Factorization of 461 is 461

Prime Factorization of 961 is 31 x 31

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 775 is 5 x 5 x 31

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, 961) = 443021

GCD(461, 961) = ( 461 x 961 ) / 443021

GCD(461, 961) = 443021 / 443021

GCD(461, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 461, 961, 30, 775 is 1

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• GCD of 580, 427, 26, 103
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• GCD of 825, 912, 34, 289

1. What is the GCD of 461, 961, 30, 775?

GCD of 461, 961, 30, 775 is 1

2. Where do I get the detailed procedure to find GCD of 461, 961, 30, 775?

You can find a detailed procedure to find GCD of 461, 961, 30, 775 on our page.

3. How to find GCD of 461, 961, 30, 775 on a calculator?

You can find the GCD of 461, 961, 30, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.