GCD of 790, 562, 66 Calculator

Given Input numbers are 790, 562, 66

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 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 790, 562, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 562, 66 is 2.

Therefore, GCD of numbers 790, 562, 66 is 2

Given Input Data is 790, 562, 66

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 562 is 2 x 281

Prime Factorization of 66 is 2 x 3 x 11

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, 562) = 221990

GCD(790, 562) = ( 790 x 562 ) / 221990

GCD(790, 562) = 443980 / 221990

GCD(790, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

GCD of 790, 562, 66 is 2

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1. What is the GCD of 790, 562, 66?

GCD of 790, 562, 66 is 2

2. Where do I get the detailed procedure to find GCD of 790, 562, 66?

You can find a detailed procedure to find GCD of 790, 562, 66 on our page.

3. How to find GCD of 790, 562, 66 on a calculator?

You can find the GCD of 790, 562, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.