GCD of 390, 734, 784, 110 Calculator

Given Input numbers are 390, 734, 784, 110

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 390, 734, 784, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 734, 784, 110 is 2.

Therefore, GCD of numbers 390, 734, 784, 110 is 2

Given Input Data is 390, 734, 784, 110

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 734 is 2 x 367

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 110 is 2 x 5 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(390, 734) = 143130

GCD(390, 734) = ( 390 x 734 ) / 143130

GCD(390, 734) = 286260 / 143130

GCD(390, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 390, 734, 784, 110 is 2

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1. What is the GCD of 390, 734, 784, 110?

GCD of 390, 734, 784, 110 is 2

2. Where do I get the detailed procedure to find GCD of 390, 734, 784, 110?

You can find a detailed procedure to find GCD of 390, 734, 784, 110 on our page.

3. How to find GCD of 390, 734, 784, 110 on a calculator?

You can find the GCD of 390, 734, 784, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.