GCD of 71, 949, 773, 204 Calculator

Given Input numbers are 71, 949, 773, 204

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 71, 949, 773, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 949, 773, 204 is 1.

Therefore, GCD of numbers 71, 949, 773, 204 is 1

Given Input Data is 71, 949, 773, 204

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

Prime Factorization of 71 is 71

Prime Factorization of 949 is 13 x 73

Prime Factorization of 773 is 773

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(71, 949) = 67379

GCD(71, 949) = ( 71 x 949 ) / 67379

GCD(71, 949) = 67379 / 67379

GCD(71, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 71, 949, 773, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 981, 167, 556
• GCD of 57, 209, 215, 443
• GCD of 32, 286, 205, 718
• GCD of 25, 754, 845, 647
• GCD of 57, 569, 581, 851

1. What is the GCD of 71, 949, 773, 204?

GCD of 71, 949, 773, 204 is 1

2. Where do I get the detailed procedure to find GCD of 71, 949, 773, 204?

You can find a detailed procedure to find GCD of 71, 949, 773, 204 on our page.

3. How to find GCD of 71, 949, 773, 204 on a calculator?

You can find the GCD of 71, 949, 773, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.