GCD of 722, 790, 262, 172 Calculator

Given Input numbers are 722, 790, 262, 172

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 722, 790, 262, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 790, 262, 172 is 2.

Therefore, GCD of numbers 722, 790, 262, 172 is 2

Given Input Data is 722, 790, 262, 172

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 790 is 2 x 5 x 79

Prime Factorization of 262 is 2 x 131

Prime Factorization of 172 is 2 x 2 x 43

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, 790) = 285190

GCD(722, 790) = ( 722 x 790 ) / 285190

GCD(722, 790) = 570380 / 285190

GCD(722, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 722, 790, 262, 172 is 2

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1. What is the GCD of 722, 790, 262, 172?

GCD of 722, 790, 262, 172 is 2

2. Where do I get the detailed procedure to find GCD of 722, 790, 262, 172?

You can find a detailed procedure to find GCD of 722, 790, 262, 172 on our page.

3. How to find GCD of 722, 790, 262, 172 on a calculator?

You can find the GCD of 722, 790, 262, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.