GCD of 795, 680, 707, 438 Calculator

Given Input numbers are 795, 680, 707, 438

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 707

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

1, 7, 101, 707

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 795, 680, 707, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 680, 707, 438 is 1.

Therefore, GCD of numbers 795, 680, 707, 438 is 1

Given Input Data is 795, 680, 707, 438

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 707 is 7 x 101

Prime Factorization of 438 is 2 x 3 x 73

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(795, 680) = 108120

GCD(795, 680) = ( 795 x 680 ) / 108120

GCD(795, 680) = 540600 / 108120

GCD(795, 680) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 707

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

LCM(5, 707) = 3535

GCD(5, 707) = ( 5 x 707 ) / 3535

GCD(5, 707) = 3535 / 3535

GCD(5, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 795, 680, 707, 438 is 1

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1. What is the GCD of 795, 680, 707, 438?

GCD of 795, 680, 707, 438 is 1

2. Where do I get the detailed procedure to find GCD of 795, 680, 707, 438?

You can find a detailed procedure to find GCD of 795, 680, 707, 438 on our page.

3. How to find GCD of 795, 680, 707, 438 on a calculator?

You can find the GCD of 795, 680, 707, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.