GCD of 727, 949, 53, 348 Calculator

Given Input numbers are 727, 949, 53, 348

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

Divisors of 727

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

1, 727

Divisors of 949

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

1, 13, 73, 949

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 727, 949, 53, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 949, 53, 348 is 1.

Therefore, GCD of numbers 727, 949, 53, 348 is 1

Given Input Data is 727, 949, 53, 348

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

Prime Factorization of 727 is 727

Prime Factorization of 949 is 13 x 73

Prime Factorization of 53 is 53

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(727, 949) = 689923

GCD(727, 949) = ( 727 x 949 ) / 689923

GCD(727, 949) = 689923 / 689923

GCD(727, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 727, 949, 53, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 964, 10, 661
• GCD of 550, 392, 62, 896
• GCD of 992, 752, 41, 360
• GCD of 792, 872, 30, 409
• GCD of 300, 695, 83, 566

1. What is the GCD of 727, 949, 53, 348?

GCD of 727, 949, 53, 348 is 1

2. Where do I get the detailed procedure to find GCD of 727, 949, 53, 348?

You can find a detailed procedure to find GCD of 727, 949, 53, 348 on our page.

3. How to find GCD of 727, 949, 53, 348 on a calculator?

You can find the GCD of 727, 949, 53, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.