GCD of 78, 822, 526, 890 Calculator

Given Input numbers are 78, 822, 526, 890

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 78, 822, 526, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 822, 526, 890 is 2.

Therefore, GCD of numbers 78, 822, 526, 890 is 2

Given Input Data is 78, 822, 526, 890

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 526 is 2 x 263

Prime Factorization of 890 is 2 x 5 x 89

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(78, 822) = 10686

GCD(78, 822) = ( 78 x 822 ) / 10686

GCD(78, 822) = 64116 / 10686

GCD(78, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 526

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

LCM(6, 526) = 1578

GCD(6, 526) = ( 6 x 526 ) / 1578

GCD(6, 526) = 3156 / 1578

GCD(6, 526) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 78, 822, 526, 890 is 2

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1. What is the GCD of 78, 822, 526, 890?

GCD of 78, 822, 526, 890 is 2

2. Where do I get the detailed procedure to find GCD of 78, 822, 526, 890?

You can find a detailed procedure to find GCD of 78, 822, 526, 890 on our page.

3. How to find GCD of 78, 822, 526, 890 on a calculator?

You can find the GCD of 78, 822, 526, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.