GCD of 72, 500, 610, 434 Calculator

Given Input numbers are 72, 500, 610, 434

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 72, 500, 610, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 500, 610, 434 is 2.

Therefore, GCD of numbers 72, 500, 610, 434 is 2

Given Input Data is 72, 500, 610, 434

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 434 is 2 x 7 x 31

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(72, 500) = 9000

GCD(72, 500) = ( 72 x 500 ) / 9000

GCD(72, 500) = 36000 / 9000

GCD(72, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 610

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

LCM(4, 610) = 1220

GCD(4, 610) = ( 4 x 610 ) / 1220

GCD(4, 610) = 2440 / 1220

GCD(4, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

GCD of 72, 500, 610, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 766, 879, 703
• GCD of 71, 556, 481, 242
• GCD of 83, 628, 977, 821
• GCD of 63, 307, 766, 980
• GCD of 89, 750, 228, 696

1. What is the GCD of 72, 500, 610, 434?

GCD of 72, 500, 610, 434 is 2

2. Where do I get the detailed procedure to find GCD of 72, 500, 610, 434?

You can find a detailed procedure to find GCD of 72, 500, 610, 434 on our page.

3. How to find GCD of 72, 500, 610, 434 on a calculator?

You can find the GCD of 72, 500, 610, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.