GCD of 707, 683, 617, 369 Calculator

Given Input numbers are 707, 683, 617, 369

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 369

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

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 707, 683, 617, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 683, 617, 369 is 1.

Therefore, GCD of numbers 707, 683, 617, 369 is 1

Given Input Data is 707, 683, 617, 369

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 683 is 683

Prime Factorization of 617 is 617

Prime Factorization of 369 is 3 x 3 x 41

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(707, 683) = 482881

GCD(707, 683) = ( 707 x 683 ) / 482881

GCD(707, 683) = 482881 / 482881

GCD(707, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 707, 683, 617, 369 is 1

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1. What is the GCD of 707, 683, 617, 369?

GCD of 707, 683, 617, 369 is 1

2. Where do I get the detailed procedure to find GCD of 707, 683, 617, 369?

You can find a detailed procedure to find GCD of 707, 683, 617, 369 on our page.

3. How to find GCD of 707, 683, 617, 369 on a calculator?

You can find the GCD of 707, 683, 617, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.