GCD of 889, 966, 338 Calculator

Given Input numbers are 889, 966, 338

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 889, 966, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 966, 338 is 1.

Therefore, GCD of numbers 889, 966, 338 is 1

Given Input Data is 889, 966, 338

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 338 is 2 x 13 x 13

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(889, 966) = 122682

GCD(889, 966) = ( 889 x 966 ) / 122682

GCD(889, 966) = 858774 / 122682

GCD(889, 966) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 338

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

LCM(7, 338) = 2366

GCD(7, 338) = ( 7 x 338 ) / 2366

GCD(7, 338) = 2366 / 2366

GCD(7, 338) = 1

GCD of 889, 966, 338 is 1

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• GCD of 754, 660, 279
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1. What is the GCD of 889, 966, 338?

GCD of 889, 966, 338 is 1

2. Where do I get the detailed procedure to find GCD of 889, 966, 338?

You can find a detailed procedure to find GCD of 889, 966, 338 on our page.

3. How to find GCD of 889, 966, 338 on a calculator?

You can find the GCD of 889, 966, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.