GCD of 926, 722, 788, 232 Calculator

Given Input numbers are 926, 722, 788, 232

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 926, 722, 788, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 722, 788, 232 is 2.

Therefore, GCD of numbers 926, 722, 788, 232 is 2

Given Input Data is 926, 722, 788, 232

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(926, 722) = 334286

GCD(926, 722) = ( 926 x 722 ) / 334286

GCD(926, 722) = 668572 / 334286

GCD(926, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 926, 722, 788, 232 is 2

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1. What is the GCD of 926, 722, 788, 232?

GCD of 926, 722, 788, 232 is 2

2. Where do I get the detailed procedure to find GCD of 926, 722, 788, 232?

You can find a detailed procedure to find GCD of 926, 722, 788, 232 on our page.

3. How to find GCD of 926, 722, 788, 232 on a calculator?

You can find the GCD of 926, 722, 788, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.