GCD of 82, 416, 528, 774 Calculator

Given Input numbers are 82, 416, 528, 774

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

Greatest Common Divisior

We found the divisors of 82, 416, 528, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 416, 528, 774 is 2.

Therefore, GCD of numbers 82, 416, 528, 774 is 2

Given Input Data is 82, 416, 528, 774

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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

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(82, 416) = 17056

GCD(82, 416) = ( 82 x 416 ) / 17056

GCD(82, 416) = 34112 / 17056

GCD(82, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

GCD of 82, 416, 528, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 828, 214, 870
• GCD of 85, 238, 677, 794
• GCD of 94, 926, 785, 574
• GCD of 96, 125, 646, 192
• GCD of 90, 544, 596, 288

1. What is the GCD of 82, 416, 528, 774?

GCD of 82, 416, 528, 774 is 2

2. Where do I get the detailed procedure to find GCD of 82, 416, 528, 774?

You can find a detailed procedure to find GCD of 82, 416, 528, 774 on our page.

3. How to find GCD of 82, 416, 528, 774 on a calculator?

You can find the GCD of 82, 416, 528, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.