GCD of 790, 234, 466, 374 Calculator

Given Input numbers are 790, 234, 466, 374

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

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 790, 234, 466, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 234, 466, 374 is 2.

Therefore, GCD of numbers 790, 234, 466, 374 is 2

Given Input Data is 790, 234, 466, 374

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 466 is 2 x 233

Prime Factorization of 374 is 2 x 11 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(790, 234) = 92430

GCD(790, 234) = ( 790 x 234 ) / 92430

GCD(790, 234) = 184860 / 92430

GCD(790, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 790, 234, 466, 374 is 2

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1. What is the GCD of 790, 234, 466, 374?

GCD of 790, 234, 466, 374 is 2

2. Where do I get the detailed procedure to find GCD of 790, 234, 466, 374?

You can find a detailed procedure to find GCD of 790, 234, 466, 374 on our page.

3. How to find GCD of 790, 234, 466, 374 on a calculator?

You can find the GCD of 790, 234, 466, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.