GCD of 268, 942, 966, 353 Calculator

Given Input numbers are 268, 942, 966, 353

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 268, 942, 966, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 942, 966, 353 is 1.

Therefore, GCD of numbers 268, 942, 966, 353 is 1

Given Input Data is 268, 942, 966, 353

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 942 is 2 x 3 x 157

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

Prime Factorization of 353 is 353

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(268, 942) = 126228

GCD(268, 942) = ( 268 x 942 ) / 126228

GCD(268, 942) = 252456 / 126228

GCD(268, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 268, 942, 966, 353 is 1

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1. What is the GCD of 268, 942, 966, 353?

GCD of 268, 942, 966, 353 is 1

2. Where do I get the detailed procedure to find GCD of 268, 942, 966, 353?

You can find a detailed procedure to find GCD of 268, 942, 966, 353 on our page.

3. How to find GCD of 268, 942, 966, 353 on a calculator?

You can find the GCD of 268, 942, 966, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.