GCD of 954, 305, 681, 452 Calculator

Given Input numbers are 954, 305, 681, 452

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

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 954, 305, 681, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 305, 681, 452 is 1.

Therefore, GCD of numbers 954, 305, 681, 452 is 1

Given Input Data is 954, 305, 681, 452

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

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 681 is 3 x 227

Prime Factorization of 452 is 2 x 2 x 113

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(954, 305) = 290970

GCD(954, 305) = ( 954 x 305 ) / 290970

GCD(954, 305) = 290970 / 290970

GCD(954, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 954, 305, 681, 452 is 1

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1. What is the GCD of 954, 305, 681, 452?

GCD of 954, 305, 681, 452 is 1

2. Where do I get the detailed procedure to find GCD of 954, 305, 681, 452?

You can find a detailed procedure to find GCD of 954, 305, 681, 452 on our page.

3. How to find GCD of 954, 305, 681, 452 on a calculator?

You can find the GCD of 954, 305, 681, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.