GCD of 969, 429, 361 Calculator

Given Input numbers are 969, 429, 361

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 969, 429, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 429, 361 is 1.

Therefore, GCD of numbers 969, 429, 361 is 1

Given Input Data is 969, 429, 361

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 429 is 3 x 11 x 13

Prime Factorization of 361 is 19 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(969, 429) = 138567

GCD(969, 429) = ( 969 x 429 ) / 138567

GCD(969, 429) = 415701 / 138567

GCD(969, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 361

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

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

GCD(3, 361) = 1083 / 1083

GCD(3, 361) = 1

GCD of 969, 429, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 944, 645
• GCD of 755, 523, 831
• GCD of 463, 863, 330
• GCD of 127, 387, 746
• GCD of 446, 776, 114

1. What is the GCD of 969, 429, 361?

GCD of 969, 429, 361 is 1

2. Where do I get the detailed procedure to find GCD of 969, 429, 361?

You can find a detailed procedure to find GCD of 969, 429, 361 on our page.

3. How to find GCD of 969, 429, 361 on a calculator?

You can find the GCD of 969, 429, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.