GCD of 826, 650, 72, 418 Calculator

Given Input numbers are 826, 650, 72, 418

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 826, 650, 72, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 650, 72, 418 is 2.

Therefore, GCD of numbers 826, 650, 72, 418 is 2

Given Input Data is 826, 650, 72, 418

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 418 is 2 x 11 x 19

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(826, 650) = 268450

GCD(826, 650) = ( 826 x 650 ) / 268450

GCD(826, 650) = 536900 / 268450

GCD(826, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

GCD of 826, 650, 72, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 827, 20, 177
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• GCD of 388, 772, 88, 347
• GCD of 283, 922, 12, 763
• GCD of 720, 588, 99, 245

1. What is the GCD of 826, 650, 72, 418?

GCD of 826, 650, 72, 418 is 2

2. Where do I get the detailed procedure to find GCD of 826, 650, 72, 418?

You can find a detailed procedure to find GCD of 826, 650, 72, 418 on our page.

3. How to find GCD of 826, 650, 72, 418 on a calculator?

You can find the GCD of 826, 650, 72, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.