GCD of 461, 954, 286, 132 Calculator

Given Input numbers are 461, 954, 286, 132

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 461, 954, 286, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 954, 286, 132 is 1.

Therefore, GCD of numbers 461, 954, 286, 132 is 1

Given Input Data is 461, 954, 286, 132

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

Prime Factorization of 461 is 461

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 132 is 2 x 2 x 3 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(461, 954) = 439794

GCD(461, 954) = ( 461 x 954 ) / 439794

GCD(461, 954) = 439794 / 439794

GCD(461, 954) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 461, 954, 286, 132 is 1

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1. What is the GCD of 461, 954, 286, 132?

GCD of 461, 954, 286, 132 is 1

2. Where do I get the detailed procedure to find GCD of 461, 954, 286, 132?

You can find a detailed procedure to find GCD of 461, 954, 286, 132 on our page.

3. How to find GCD of 461, 954, 286, 132 on a calculator?

You can find the GCD of 461, 954, 286, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.