GCD of 667, 345, 68, 699 Calculator

Given Input numbers are 667, 345, 68, 699

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 699

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

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 667, 345, 68, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 345, 68, 699 is 1.

Therefore, GCD of numbers 667, 345, 68, 699 is 1

Given Input Data is 667, 345, 68, 699

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 699 is 3 x 233

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(667, 345) = 10005

GCD(667, 345) = ( 667 x 345 ) / 10005

GCD(667, 345) = 230115 / 10005

GCD(667, 345) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 68

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

LCM(23, 68) = 1564

GCD(23, 68) = ( 23 x 68 ) / 1564

GCD(23, 68) = 1564 / 1564

GCD(23, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 667, 345, 68, 699 is 1

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• GCD of 979, 692, 12, 557
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1. What is the GCD of 667, 345, 68, 699?

GCD of 667, 345, 68, 699 is 1

2. Where do I get the detailed procedure to find GCD of 667, 345, 68, 699?

You can find a detailed procedure to find GCD of 667, 345, 68, 699 on our page.

3. How to find GCD of 667, 345, 68, 699 on a calculator?

You can find the GCD of 667, 345, 68, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.