GCD of 734, 408, 600, 530 Calculator

Given Input numbers are 734, 408, 600, 530

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 734, 408, 600, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 408, 600, 530 is 2.

Therefore, GCD of numbers 734, 408, 600, 530 is 2

Given Input Data is 734, 408, 600, 530

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 530 is 2 x 5 x 53

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(734, 408) = 149736

GCD(734, 408) = ( 734 x 408 ) / 149736

GCD(734, 408) = 299472 / 149736

GCD(734, 408) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

GCD of 734, 408, 600, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 705, 628, 662
• GCD of 148, 700, 953, 699
• GCD of 262, 910, 798, 948
• GCD of 579, 497, 618, 513
• GCD of 165, 385, 554, 749

1. What is the GCD of 734, 408, 600, 530?

GCD of 734, 408, 600, 530 is 2

2. Where do I get the detailed procedure to find GCD of 734, 408, 600, 530?

You can find a detailed procedure to find GCD of 734, 408, 600, 530 on our page.

3. How to find GCD of 734, 408, 600, 530 on a calculator?

You can find the GCD of 734, 408, 600, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.