GCD of 750, 546, 36, 279 Calculator

Given Input numbers are 750, 546, 36, 279

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 750, 546, 36, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 546, 36, 279 is 3.

Therefore, GCD of numbers 750, 546, 36, 279 is 3

Given Input Data is 750, 546, 36, 279

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 279 is 3 x 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 546) = 68250

GCD(750, 546) = ( 750 x 546 ) / 68250

GCD(750, 546) = 409500 / 68250

GCD(750, 546) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 36

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

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

GCD(6, 36) = 216 / 36

GCD(6, 36) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 279

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

LCM(6, 279) = 558

GCD(6, 279) = ( 6 x 279 ) / 558

GCD(6, 279) = 1674 / 558

GCD(6, 279) = 3

GCD of 750, 546, 36, 279 is 3

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1. What is the GCD of 750, 546, 36, 279?

GCD of 750, 546, 36, 279 is 3

2. Where do I get the detailed procedure to find GCD of 750, 546, 36, 279?

You can find a detailed procedure to find GCD of 750, 546, 36, 279 on our page.

3. How to find GCD of 750, 546, 36, 279 on a calculator?

You can find the GCD of 750, 546, 36, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.