GCD of 340, 819, 736, 949 Calculator

Given Input numbers are 340, 819, 736, 949

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 340, 819, 736, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 819, 736, 949 is 1.

Therefore, GCD of numbers 340, 819, 736, 949 is 1

Given Input Data is 340, 819, 736, 949

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 949 is 13 x 73

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(340, 819) = 278460

GCD(340, 819) = ( 340 x 819 ) / 278460

GCD(340, 819) = 278460 / 278460

GCD(340, 819) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 340, 819, 736, 949 is 1

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1. What is the GCD of 340, 819, 736, 949?

GCD of 340, 819, 736, 949 is 1

2. Where do I get the detailed procedure to find GCD of 340, 819, 736, 949?

You can find a detailed procedure to find GCD of 340, 819, 736, 949 on our page.

3. How to find GCD of 340, 819, 736, 949 on a calculator?

You can find the GCD of 340, 819, 736, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.