GCD of 748, 362, 584, 722 Calculator

Given Input numbers are 748, 362, 584, 722

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 748, 362, 584, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 362, 584, 722 is 2.

Therefore, GCD of numbers 748, 362, 584, 722 is 2

Given Input Data is 748, 362, 584, 722

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 362 is 2 x 181

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(748, 362) = 135388

GCD(748, 362) = ( 748 x 362 ) / 135388

GCD(748, 362) = 270776 / 135388

GCD(748, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 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 748, 362, 584, 722 is 2

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1. What is the GCD of 748, 362, 584, 722?

GCD of 748, 362, 584, 722 is 2

2. Where do I get the detailed procedure to find GCD of 748, 362, 584, 722?

You can find a detailed procedure to find GCD of 748, 362, 584, 722 on our page.

3. How to find GCD of 748, 362, 584, 722 on a calculator?

You can find the GCD of 748, 362, 584, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.