GCD of 734, 984, 309, 778 Calculator

Given Input numbers are 734, 984, 309, 778

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

Divisors of 734

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

1, 2, 367, 734

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 734, 984, 309, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 984, 309, 778 is 1.

Therefore, GCD of numbers 734, 984, 309, 778 is 1

Given Input Data is 734, 984, 309, 778

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 309 is 3 x 103

Prime Factorization of 778 is 2 x 389

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(734, 984) = 361128

GCD(734, 984) = ( 734 x 984 ) / 361128

GCD(734, 984) = 722256 / 361128

GCD(734, 984) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

GCD of 734, 984, 309, 778 is 1

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1. What is the GCD of 734, 984, 309, 778?

GCD of 734, 984, 309, 778 is 1

2. Where do I get the detailed procedure to find GCD of 734, 984, 309, 778?

You can find a detailed procedure to find GCD of 734, 984, 309, 778 on our page.

3. How to find GCD of 734, 984, 309, 778 on a calculator?

You can find the GCD of 734, 984, 309, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.