GCD of 740, 114, 19, 782 Calculator

Given Input numbers are 740, 114, 19, 782

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 740, 114, 19, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 114, 19, 782 is 1.

Therefore, GCD of numbers 740, 114, 19, 782 is 1

Given Input Data is 740, 114, 19, 782

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 19 is 19

Prime Factorization of 782 is 2 x 17 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(740, 114) = 42180

GCD(740, 114) = ( 740 x 114 ) / 42180

GCD(740, 114) = 84360 / 42180

GCD(740, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 740, 114, 19, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 847, 74, 780
• GCD of 208, 686, 86, 153
• GCD of 147, 804, 25, 175
• GCD of 419, 998, 41, 905
• GCD of 108, 178, 96, 582

1. What is the GCD of 740, 114, 19, 782?

GCD of 740, 114, 19, 782 is 1

2. Where do I get the detailed procedure to find GCD of 740, 114, 19, 782?

You can find a detailed procedure to find GCD of 740, 114, 19, 782 on our page.

3. How to find GCD of 740, 114, 19, 782 on a calculator?

You can find the GCD of 740, 114, 19, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.