GCD of 722, 962, 14, 238 Calculator

Given Input numbers are 722, 962, 14, 238

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 722, 962, 14, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 962, 14, 238 is 2.

Therefore, GCD of numbers 722, 962, 14, 238 is 2

Given Input Data is 722, 962, 14, 238

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 962 is 2 x 13 x 37

Prime Factorization of 14 is 2 x 7

Prime Factorization of 238 is 2 x 7 x 17

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, 962) = 347282

GCD(722, 962) = ( 722 x 962 ) / 347282

GCD(722, 962) = 694564 / 347282

GCD(722, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 722, 962, 14, 238 is 2

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1. What is the GCD of 722, 962, 14, 238?

GCD of 722, 962, 14, 238 is 2

2. Where do I get the detailed procedure to find GCD of 722, 962, 14, 238?

You can find a detailed procedure to find GCD of 722, 962, 14, 238 on our page.

3. How to find GCD of 722, 962, 14, 238 on a calculator?

You can find the GCD of 722, 962, 14, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.