GCD of 667, 672, 697, 969 Calculator

Given Input numbers are 667, 672, 697, 969

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 697

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

1, 17, 41, 697

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 667, 672, 697, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 672, 697, 969 is 1.

Therefore, GCD of numbers 667, 672, 697, 969 is 1

Given Input Data is 667, 672, 697, 969

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 697 is 17 x 41

Prime Factorization of 969 is 3 x 17 x 19

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, 672) = 448224

GCD(667, 672) = ( 667 x 672 ) / 448224

GCD(667, 672) = 448224 / 448224

GCD(667, 672) = 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 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 667, 672, 697, 969 is 1

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1. What is the GCD of 667, 672, 697, 969?

GCD of 667, 672, 697, 969 is 1

2. Where do I get the detailed procedure to find GCD of 667, 672, 697, 969?

You can find a detailed procedure to find GCD of 667, 672, 697, 969 on our page.

3. How to find GCD of 667, 672, 697, 969 on a calculator?

You can find the GCD of 667, 672, 697, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.