GCD of 300, 436, 764, 292 Calculator

Given Input numbers are 300, 436, 764, 292

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

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 764

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

1, 2, 4, 191, 382, 764

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 300, 436, 764, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 436, 764, 292 is 4.

Therefore, GCD of numbers 300, 436, 764, 292 is 4

Given Input Data is 300, 436, 764, 292

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

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 292 is 2 x 2 x 73

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(300, 436) = 32700

GCD(300, 436) = ( 300 x 436 ) / 32700

GCD(300, 436) = 130800 / 32700

GCD(300, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 764

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

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

GCD(4, 764) = 3056 / 764

GCD(4, 764) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 292

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

LCM(4, 292) = 292

GCD(4, 292) = ( 4 x 292 ) / 292

GCD(4, 292) = 1168 / 292

GCD(4, 292) = 4

GCD of 300, 436, 764, 292 is 4

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1. What is the GCD of 300, 436, 764, 292?

GCD of 300, 436, 764, 292 is 4

2. Where do I get the detailed procedure to find GCD of 300, 436, 764, 292?

You can find a detailed procedure to find GCD of 300, 436, 764, 292 on our page.

3. How to find GCD of 300, 436, 764, 292 on a calculator?

You can find the GCD of 300, 436, 764, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.