GCD of 340, 593, 912, 748 Calculator

Given Input numbers are 340, 593, 912, 748

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 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 340, 593, 912, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 593, 912, 748 is 1.

Therefore, GCD of numbers 340, 593, 912, 748 is 1

Given Input Data is 340, 593, 912, 748

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 593 is 593

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 748 is 2 x 2 x 11 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(340, 593) = 201620

GCD(340, 593) = ( 340 x 593 ) / 201620

GCD(340, 593) = 201620 / 201620

GCD(340, 593) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 340, 593, 912, 748 is 1

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1. What is the GCD of 340, 593, 912, 748?

GCD of 340, 593, 912, 748 is 1

2. Where do I get the detailed procedure to find GCD of 340, 593, 912, 748?

You can find a detailed procedure to find GCD of 340, 593, 912, 748 on our page.

3. How to find GCD of 340, 593, 912, 748 on a calculator?

You can find the GCD of 340, 593, 912, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.