GCD of 461, 121, 54, 332 Calculator

Given Input numbers are 461, 121, 54, 332

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 121

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

1, 11, 121

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 461, 121, 54, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 121, 54, 332 is 1.

Therefore, GCD of numbers 461, 121, 54, 332 is 1

Given Input Data is 461, 121, 54, 332

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

Prime Factorization of 461 is 461

Prime Factorization of 121 is 11 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 332 is 2 x 2 x 83

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, 121) = 55781

GCD(461, 121) = ( 461 x 121 ) / 55781

GCD(461, 121) = 55781 / 55781

GCD(461, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 461, 121, 54, 332 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 865, 59, 772
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• GCD of 886, 686, 45, 176
• GCD of 171, 926, 50, 290

1. What is the GCD of 461, 121, 54, 332?

GCD of 461, 121, 54, 332 is 1

2. Where do I get the detailed procedure to find GCD of 461, 121, 54, 332?

You can find a detailed procedure to find GCD of 461, 121, 54, 332 on our page.

3. How to find GCD of 461, 121, 54, 332 on a calculator?

You can find the GCD of 461, 121, 54, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.