GCD of 164, 778, 96, 300 Calculator

Given Input numbers are 164, 778, 96, 300

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 164, 778, 96, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 778, 96, 300 is 2.

Therefore, GCD of numbers 164, 778, 96, 300 is 2

Given Input Data is 164, 778, 96, 300

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 778 is 2 x 389

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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, 778) = 63796

GCD(164, 778) = ( 164 x 778 ) / 63796

GCD(164, 778) = 127592 / 63796

GCD(164, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 164, 778, 96, 300 is 2

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• GCD of 583, 761, 54, 553
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1. What is the GCD of 164, 778, 96, 300?

GCD of 164, 778, 96, 300 is 2

2. Where do I get the detailed procedure to find GCD of 164, 778, 96, 300?

You can find a detailed procedure to find GCD of 164, 778, 96, 300 on our page.

3. How to find GCD of 164, 778, 96, 300 on a calculator?

You can find the GCD of 164, 778, 96, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.