GCD of 954, 682, 589, 977 Calculator

Given Input numbers are 954, 682, 589, 977

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 954, 682, 589, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 682, 589, 977 is 1.

Therefore, GCD of numbers 954, 682, 589, 977 is 1

Given Input Data is 954, 682, 589, 977

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 682 is 2 x 11 x 31

Prime Factorization of 589 is 19 x 31

Prime Factorization of 977 is 977

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, 682) = 325314

GCD(954, 682) = ( 954 x 682 ) / 325314

GCD(954, 682) = 650628 / 325314

GCD(954, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 954, 682, 589, 977 is 1

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1. What is the GCD of 954, 682, 589, 977?

GCD of 954, 682, 589, 977 is 1

2. Where do I get the detailed procedure to find GCD of 954, 682, 589, 977?

You can find a detailed procedure to find GCD of 954, 682, 589, 977 on our page.

3. How to find GCD of 954, 682, 589, 977 on a calculator?

You can find the GCD of 954, 682, 589, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.