GCD of 340, 601, 748, 788 Calculator

Given Input numbers are 340, 601, 748, 788

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 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 340, 601, 748, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 601, 748, 788 is 1.

Therefore, GCD of numbers 340, 601, 748, 788 is 1

Given Input Data is 340, 601, 748, 788

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 601 is 601

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 788 is 2 x 2 x 197

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, 601) = 204340

GCD(340, 601) = ( 340 x 601 ) / 204340

GCD(340, 601) = 204340 / 204340

GCD(340, 601) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 340, 601, 748, 788 is 1

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1. What is the GCD of 340, 601, 748, 788?

GCD of 340, 601, 748, 788 is 1

2. Where do I get the detailed procedure to find GCD of 340, 601, 748, 788?

You can find a detailed procedure to find GCD of 340, 601, 748, 788 on our page.

3. How to find GCD of 340, 601, 748, 788 on a calculator?

You can find the GCD of 340, 601, 748, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.