GCD of 312, 223, 750, 369 Calculator

Given Input numbers are 312, 223, 750, 369

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 312, 223, 750, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 223, 750, 369 is 1.

Therefore, GCD of numbers 312, 223, 750, 369 is 1

Given Input Data is 312, 223, 750, 369

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 223 is 223

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 369 is 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(312, 223) = 69576

GCD(312, 223) = ( 312 x 223 ) / 69576

GCD(312, 223) = 69576 / 69576

GCD(312, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 312, 223, 750, 369 is 1

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• GCD of 825, 615, 195, 823
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• GCD of 182, 564, 768, 332

1. What is the GCD of 312, 223, 750, 369?

GCD of 312, 223, 750, 369 is 1

2. Where do I get the detailed procedure to find GCD of 312, 223, 750, 369?

You can find a detailed procedure to find GCD of 312, 223, 750, 369 on our page.

3. How to find GCD of 312, 223, 750, 369 on a calculator?

You can find the GCD of 312, 223, 750, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.