GCD of 667, 778, 697, 301 Calculator

Given Input numbers are 667, 778, 697, 301

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 667, 778, 697, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 778, 697, 301 is 1.

Therefore, GCD of numbers 667, 778, 697, 301 is 1

Given Input Data is 667, 778, 697, 301

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 778 is 2 x 389

Prime Factorization of 697 is 17 x 41

Prime Factorization of 301 is 7 x 43

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, 778) = 518926

GCD(667, 778) = ( 667 x 778 ) / 518926

GCD(667, 778) = 518926 / 518926

GCD(667, 778) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 667, 778, 697, 301 is 1

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1. What is the GCD of 667, 778, 697, 301?

GCD of 667, 778, 697, 301 is 1

2. Where do I get the detailed procedure to find GCD of 667, 778, 697, 301?

You can find a detailed procedure to find GCD of 667, 778, 697, 301 on our page.

3. How to find GCD of 667, 778, 697, 301 on a calculator?

You can find the GCD of 667, 778, 697, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.