GCD of 706, 369, 664, 340 Calculator

Given Input numbers are 706, 369, 664, 340

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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

Greatest Common Divisior

We found the divisors of 706, 369, 664, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 369, 664, 340 is 1.

Therefore, GCD of numbers 706, 369, 664, 340 is 1

Given Input Data is 706, 369, 664, 340

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 340 is 2 x 2 x 5 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(706, 369) = 260514

GCD(706, 369) = ( 706 x 369 ) / 260514

GCD(706, 369) = 260514 / 260514

GCD(706, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 706, 369, 664, 340 is 1

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1. What is the GCD of 706, 369, 664, 340?

GCD of 706, 369, 664, 340 is 1

2. Where do I get the detailed procedure to find GCD of 706, 369, 664, 340?

You can find a detailed procedure to find GCD of 706, 369, 664, 340 on our page.

3. How to find GCD of 706, 369, 664, 340 on a calculator?

You can find the GCD of 706, 369, 664, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.