GCD of 236, 830, 722 Calculator

Given Input numbers are 236, 830, 722

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

Divisors of 236

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

1, 2, 4, 59, 118, 236

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

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 236, 830, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 830, 722 is 2.

Therefore, GCD of numbers 236, 830, 722 is 2

Given Input Data is 236, 830, 722

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 830 is 2 x 5 x 83

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(236, 830) = 97940

GCD(236, 830) = ( 236 x 830 ) / 97940

GCD(236, 830) = 195880 / 97940

GCD(236, 830) = 2

Step2:

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 236, 830, 722 is 2

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1. What is the GCD of 236, 830, 722?

GCD of 236, 830, 722 is 2

2. Where do I get the detailed procedure to find GCD of 236, 830, 722?

You can find a detailed procedure to find GCD of 236, 830, 722 on our page.

3. How to find GCD of 236, 830, 722 on a calculator?

You can find the GCD of 236, 830, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.