GCD of 969, 397, 69, 106 Calculator

Given Input numbers are 969, 397, 69, 106

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

Divisors of 969

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

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 969, 397, 69, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 397, 69, 106 is 1.

Therefore, GCD of numbers 969, 397, 69, 106 is 1

Given Input Data is 969, 397, 69, 106

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 397 is 397

Prime Factorization of 69 is 3 x 23

Prime Factorization of 106 is 2 x 53

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(969, 397) = 384693

GCD(969, 397) = ( 969 x 397 ) / 384693

GCD(969, 397) = 384693 / 384693

GCD(969, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 969, 397, 69, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 655, 98, 338
• GCD of 291, 659, 30, 482
• GCD of 397, 974, 18, 261
• GCD of 789, 436, 98, 523
• GCD of 183, 312, 90, 667

1. What is the GCD of 969, 397, 69, 106?

GCD of 969, 397, 69, 106 is 1

2. Where do I get the detailed procedure to find GCD of 969, 397, 69, 106?

You can find a detailed procedure to find GCD of 969, 397, 69, 106 on our page.

3. How to find GCD of 969, 397, 69, 106 on a calculator?

You can find the GCD of 969, 397, 69, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.