GCD of 356, 272, 254, 966 Calculator

Given Input numbers are 356, 272, 254, 966

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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

Greatest Common Divisior

We found the divisors of 356, 272, 254, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 272, 254, 966 is 2.

Therefore, GCD of numbers 356, 272, 254, 966 is 2

Given Input Data is 356, 272, 254, 966

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 254 is 2 x 127

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(356, 272) = 24208

GCD(356, 272) = ( 356 x 272 ) / 24208

GCD(356, 272) = 96832 / 24208

GCD(356, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 254

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

LCM(4, 254) = 508

GCD(4, 254) = ( 4 x 254 ) / 508

GCD(4, 254) = 1016 / 508

GCD(4, 254) = 2

Step3:

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

GCD of 356, 272, 254, 966 is 2

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1. What is the GCD of 356, 272, 254, 966?

GCD of 356, 272, 254, 966 is 2

2. Where do I get the detailed procedure to find GCD of 356, 272, 254, 966?

You can find a detailed procedure to find GCD of 356, 272, 254, 966 on our page.

3. How to find GCD of 356, 272, 254, 966 on a calculator?

You can find the GCD of 356, 272, 254, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.