GCD of 944, 758, 340, 253 Calculator

Given Input numbers are 944, 758, 340, 253

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 944, 758, 340, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 758, 340, 253 is 1.

Therefore, GCD of numbers 944, 758, 340, 253 is 1

Given Input Data is 944, 758, 340, 253

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

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 758 is 2 x 379

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

Prime Factorization of 253 is 11 x 23

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(944, 758) = 357776

GCD(944, 758) = ( 944 x 758 ) / 357776

GCD(944, 758) = 715552 / 357776

GCD(944, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 944, 758, 340, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 280, 832, 614
• GCD of 164, 153, 663, 431
• GCD of 996, 672, 930, 785
• GCD of 229, 438, 922, 756
• GCD of 418, 837, 997, 499

1. What is the GCD of 944, 758, 340, 253?

GCD of 944, 758, 340, 253 is 1

2. Where do I get the detailed procedure to find GCD of 944, 758, 340, 253?

You can find a detailed procedure to find GCD of 944, 758, 340, 253 on our page.

3. How to find GCD of 944, 758, 340, 253 on a calculator?

You can find the GCD of 944, 758, 340, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.