GCD of 164, 946, 960, 102 Calculator

Given Input numbers are 164, 946, 960, 102

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 164, 946, 960, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 946, 960, 102 is 2.

Therefore, GCD of numbers 164, 946, 960, 102 is 2

Given Input Data is 164, 946, 960, 102

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 102 is 2 x 3 x 17

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(164, 946) = 77572

GCD(164, 946) = ( 164 x 946 ) / 77572

GCD(164, 946) = 155144 / 77572

GCD(164, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

GCD of 164, 946, 960, 102 is 2

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1. What is the GCD of 164, 946, 960, 102?

GCD of 164, 946, 960, 102 is 2

2. Where do I get the detailed procedure to find GCD of 164, 946, 960, 102?

You can find a detailed procedure to find GCD of 164, 946, 960, 102 on our page.

3. How to find GCD of 164, 946, 960, 102 on a calculator?

You can find the GCD of 164, 946, 960, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.