GCD of 291, 966, 651, 165 Calculator

Given Input numbers are 291, 966, 651, 165

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 291, 966, 651, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 966, 651, 165 is 3.

Therefore, GCD of numbers 291, 966, 651, 165 is 3

Given Input Data is 291, 966, 651, 165

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

Prime Factorization of 291 is 3 x 97

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 165 is 3 x 5 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(291, 966) = 93702

GCD(291, 966) = ( 291 x 966 ) / 93702

GCD(291, 966) = 281106 / 93702

GCD(291, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 651

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

LCM(3, 651) = 651

GCD(3, 651) = ( 3 x 651 ) / 651

GCD(3, 651) = 1953 / 651

GCD(3, 651) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 165

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

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

GCD(3, 165) = 495 / 165

GCD(3, 165) = 3

GCD of 291, 966, 651, 165 is 3

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1. What is the GCD of 291, 966, 651, 165?

GCD of 291, 966, 651, 165 is 3

2. Where do I get the detailed procedure to find GCD of 291, 966, 651, 165?

You can find a detailed procedure to find GCD of 291, 966, 651, 165 on our page.

3. How to find GCD of 291, 966, 651, 165 on a calculator?

You can find the GCD of 291, 966, 651, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.