GCD of 614, 667, 72, 499 Calculator

Given Input numbers are 614, 667, 72, 499

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

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 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 614, 667, 72, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 667, 72, 499 is 1.

Therefore, GCD of numbers 614, 667, 72, 499 is 1

Given Input Data is 614, 667, 72, 499

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 667 is 23 x 29

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

Prime Factorization of 499 is 499

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(614, 667) = 409538

GCD(614, 667) = ( 614 x 667 ) / 409538

GCD(614, 667) = 409538 / 409538

GCD(614, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 614, 667, 72, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 948, 54, 720
• GCD of 541, 185, 63, 739
• GCD of 841, 306, 70, 494
• GCD of 199, 408, 53, 283
• GCD of 142, 226, 95, 642

1. What is the GCD of 614, 667, 72, 499?

GCD of 614, 667, 72, 499 is 1

2. Where do I get the detailed procedure to find GCD of 614, 667, 72, 499?

You can find a detailed procedure to find GCD of 614, 667, 72, 499 on our page.

3. How to find GCD of 614, 667, 72, 499 on a calculator?

You can find the GCD of 614, 667, 72, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.