GCD of 774, 714, 444, 536 Calculator

Given Input numbers are 774, 714, 444, 536

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 774, 714, 444, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 714, 444, 536 is 2.

Therefore, GCD of numbers 774, 714, 444, 536 is 2

Given Input Data is 774, 714, 444, 536

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 536 is 2 x 2 x 2 x 67

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(774, 714) = 92106

GCD(774, 714) = ( 774 x 714 ) / 92106

GCD(774, 714) = 552636 / 92106

GCD(774, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 444

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

LCM(6, 444) = 444

GCD(6, 444) = ( 6 x 444 ) / 444

GCD(6, 444) = 2664 / 444

GCD(6, 444) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 536

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

LCM(6, 536) = 1608

GCD(6, 536) = ( 6 x 536 ) / 1608

GCD(6, 536) = 3216 / 1608

GCD(6, 536) = 2

GCD of 774, 714, 444, 536 is 2

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1. What is the GCD of 774, 714, 444, 536?

GCD of 774, 714, 444, 536 is 2

2. Where do I get the detailed procedure to find GCD of 774, 714, 444, 536?

You can find a detailed procedure to find GCD of 774, 714, 444, 536 on our page.

3. How to find GCD of 774, 714, 444, 536 on a calculator?

You can find the GCD of 774, 714, 444, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.