GCD of 699, 692, 25, 340 Calculator

Given Input numbers are 699, 692, 25, 340

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 699, 692, 25, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 692, 25, 340 is 1.

Therefore, GCD of numbers 699, 692, 25, 340 is 1

Given Input Data is 699, 692, 25, 340

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 25 is 5 x 5

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(699, 692) = 483708

GCD(699, 692) = ( 699 x 692 ) / 483708

GCD(699, 692) = 483708 / 483708

GCD(699, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 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 699, 692, 25, 340 is 1

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1. What is the GCD of 699, 692, 25, 340?

GCD of 699, 692, 25, 340 is 1

2. Where do I get the detailed procedure to find GCD of 699, 692, 25, 340?

You can find a detailed procedure to find GCD of 699, 692, 25, 340 on our page.

3. How to find GCD of 699, 692, 25, 340 on a calculator?

You can find the GCD of 699, 692, 25, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.