GCD of 824, 722, 58, 734 Calculator

Given Input numbers are 824, 722, 58, 734

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 824, 722, 58, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 722, 58, 734 is 2.

Therefore, GCD of numbers 824, 722, 58, 734 is 2

Given Input Data is 824, 722, 58, 734

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 58 is 2 x 29

Prime Factorization of 734 is 2 x 367

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(824, 722) = 297464

GCD(824, 722) = ( 824 x 722 ) / 297464

GCD(824, 722) = 594928 / 297464

GCD(824, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 824, 722, 58, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 370, 68, 884
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• GCD of 793, 768, 45, 808

1. What is the GCD of 824, 722, 58, 734?

GCD of 824, 722, 58, 734 is 2

2. Where do I get the detailed procedure to find GCD of 824, 722, 58, 734?

You can find a detailed procedure to find GCD of 824, 722, 58, 734 on our page.

3. How to find GCD of 824, 722, 58, 734 on a calculator?

You can find the GCD of 824, 722, 58, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.