GCD of 966, 343, 18, 565 Calculator

Given Input numbers are 966, 343, 18, 565

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

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 966, 343, 18, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 343, 18, 565 is 1.

Therefore, GCD of numbers 966, 343, 18, 565 is 1

Given Input Data is 966, 343, 18, 565

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

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 565 is 5 x 113

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(966, 343) = 47334

GCD(966, 343) = ( 966 x 343 ) / 47334

GCD(966, 343) = 331338 / 47334

GCD(966, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 18

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

LCM(7, 18) = 126

GCD(7, 18) = ( 7 x 18 ) / 126

GCD(7, 18) = 126 / 126

GCD(7, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 966, 343, 18, 565 is 1

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• GCD of 808, 340, 20, 400
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1. What is the GCD of 966, 343, 18, 565?

GCD of 966, 343, 18, 565 is 1

2. Where do I get the detailed procedure to find GCD of 966, 343, 18, 565?

You can find a detailed procedure to find GCD of 966, 343, 18, 565 on our page.

3. How to find GCD of 966, 343, 18, 565 on a calculator?

You can find the GCD of 966, 343, 18, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.