GCD of 764, 408, 96, 300 Calculator

Given Input numbers are 764, 408, 96, 300

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 764, 408, 96, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 408, 96, 300 is 4.

Therefore, GCD of numbers 764, 408, 96, 300 is 4

Given Input Data is 764, 408, 96, 300

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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 2²

Multiplying them we get the GCD as 4

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(764, 408) = 77928

GCD(764, 408) = ( 764 x 408 ) / 77928

GCD(764, 408) = 311712 / 77928

GCD(764, 408) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 300

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

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

GCD(4, 300) = 1200 / 300

GCD(4, 300) = 4

GCD of 764, 408, 96, 300 is 4

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• GCD of 960, 774, 14, 119
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1. What is the GCD of 764, 408, 96, 300?

GCD of 764, 408, 96, 300 is 4

2. Where do I get the detailed procedure to find GCD of 764, 408, 96, 300?

You can find a detailed procedure to find GCD of 764, 408, 96, 300 on our page.

3. How to find GCD of 764, 408, 96, 300 on a calculator?

You can find the GCD of 764, 408, 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.