GCD of 704, 606, 236, 722 Calculator

Given Input numbers are 704, 606, 236, 722

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 722

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

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 704, 606, 236, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 606, 236, 722 is 2.

Therefore, GCD of numbers 704, 606, 236, 722 is 2

Given Input Data is 704, 606, 236, 722

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 722 is 2 x 19 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(704, 606) = 213312

GCD(704, 606) = ( 704 x 606 ) / 213312

GCD(704, 606) = 426624 / 213312

GCD(704, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

GCD of 704, 606, 236, 722 is 2

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1. What is the GCD of 704, 606, 236, 722?

GCD of 704, 606, 236, 722 is 2

2. Where do I get the detailed procedure to find GCD of 704, 606, 236, 722?

You can find a detailed procedure to find GCD of 704, 606, 236, 722 on our page.

3. How to find GCD of 704, 606, 236, 722 on a calculator?

You can find the GCD of 704, 606, 236, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.