GCD of 750, 216, 295, 548 Calculator

Given Input numbers are 750, 216, 295, 548

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

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 750, 216, 295, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 216, 295, 548 is 1.

Therefore, GCD of numbers 750, 216, 295, 548 is 1

Given Input Data is 750, 216, 295, 548

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

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 295 is 5 x 59

Prime Factorization of 548 is 2 x 2 x 137

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(750, 216) = 27000

GCD(750, 216) = ( 750 x 216 ) / 27000

GCD(750, 216) = 162000 / 27000

GCD(750, 216) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 295

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

LCM(6, 295) = 1770

GCD(6, 295) = ( 6 x 295 ) / 1770

GCD(6, 295) = 1770 / 1770

GCD(6, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 750, 216, 295, 548 is 1

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1. What is the GCD of 750, 216, 295, 548?

GCD of 750, 216, 295, 548 is 1

2. Where do I get the detailed procedure to find GCD of 750, 216, 295, 548?

You can find a detailed procedure to find GCD of 750, 216, 295, 548 on our page.

3. How to find GCD of 750, 216, 295, 548 on a calculator?

You can find the GCD of 750, 216, 295, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.