GCD of 722, 636, 90, 914 Calculator

Given Input numbers are 722, 636, 90, 914

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 722, 636, 90, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 636, 90, 914 is 2.

Therefore, GCD of numbers 722, 636, 90, 914 is 2

Given Input Data is 722, 636, 90, 914

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 914 is 2 x 457

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(722, 636) = 229596

GCD(722, 636) = ( 722 x 636 ) / 229596

GCD(722, 636) = 459192 / 229596

GCD(722, 636) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

GCD of 722, 636, 90, 914 is 2

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1. What is the GCD of 722, 636, 90, 914?

GCD of 722, 636, 90, 914 is 2

2. Where do I get the detailed procedure to find GCD of 722, 636, 90, 914?

You can find a detailed procedure to find GCD of 722, 636, 90, 914 on our page.

3. How to find GCD of 722, 636, 90, 914 on a calculator?

You can find the GCD of 722, 636, 90, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.