GCD of 355, 740, 499 Calculator

Given Input numbers are 355, 740, 499

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 499

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

1, 499

Greatest Common Divisior

We found the divisors of 355, 740, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 740, 499 is 1.

Therefore, GCD of numbers 355, 740, 499 is 1

Given Input Data is 355, 740, 499

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

Prime Factorization of 355 is 5 x 71

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

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(355, 740) = 52540

GCD(355, 740) = ( 355 x 740 ) / 52540

GCD(355, 740) = 262700 / 52540

GCD(355, 740) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 499

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

LCM(5, 499) = 2495

GCD(5, 499) = ( 5 x 499 ) / 2495

GCD(5, 499) = 2495 / 2495

GCD(5, 499) = 1

GCD of 355, 740, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 787, 759
• GCD of 476, 987, 958
• GCD of 509, 611, 928
• GCD of 676, 550, 589
• GCD of 753, 772, 958

1. What is the GCD of 355, 740, 499?

GCD of 355, 740, 499 is 1

2. Where do I get the detailed procedure to find GCD of 355, 740, 499?

You can find a detailed procedure to find GCD of 355, 740, 499 on our page.

3. How to find GCD of 355, 740, 499 on a calculator?

You can find the GCD of 355, 740, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.