GCD of 954, 727, 55, 774 Calculator

Given Input numbers are 954, 727, 55, 774

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 954, 727, 55, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 727, 55, 774 is 1.

Therefore, GCD of numbers 954, 727, 55, 774 is 1

Given Input Data is 954, 727, 55, 774

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 727 is 727

Prime Factorization of 55 is 5 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

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, 727) = 693558

GCD(954, 727) = ( 954 x 727 ) / 693558

GCD(954, 727) = 693558 / 693558

GCD(954, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 954, 727, 55, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 837, 87, 622
• GCD of 939, 209, 39, 681
• GCD of 226, 674, 46, 790
• GCD of 958, 217, 71, 846
• GCD of 410, 567, 54, 856

1. What is the GCD of 954, 727, 55, 774?

GCD of 954, 727, 55, 774 is 1

2. Where do I get the detailed procedure to find GCD of 954, 727, 55, 774?

You can find a detailed procedure to find GCD of 954, 727, 55, 774 on our page.

3. How to find GCD of 954, 727, 55, 774 on a calculator?

You can find the GCD of 954, 727, 55, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.