GCD of 495, 849, 962, 499 Calculator

Given Input numbers are 495, 849, 962, 499

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

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 495, 849, 962, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 849, 962, 499 is 1.

Therefore, GCD of numbers 495, 849, 962, 499 is 1

Given Input Data is 495, 849, 962, 499

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 849 is 3 x 283

Prime Factorization of 962 is 2 x 13 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(495, 849) = 140085

GCD(495, 849) = ( 495 x 849 ) / 140085

GCD(495, 849) = 420255 / 140085

GCD(495, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 962

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

LCM(3, 962) = 2886

GCD(3, 962) = ( 3 x 962 ) / 2886

GCD(3, 962) = 2886 / 2886

GCD(3, 962) = 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 495, 849, 962, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 994, 949, 846
• GCD of 880, 802, 466, 434
• GCD of 404, 354, 540, 594
• GCD of 673, 742, 975, 554
• GCD of 899, 446, 899, 102

1. What is the GCD of 495, 849, 962, 499?

GCD of 495, 849, 962, 499 is 1

2. Where do I get the detailed procedure to find GCD of 495, 849, 962, 499?

You can find a detailed procedure to find GCD of 495, 849, 962, 499 on our page.

3. How to find GCD of 495, 849, 962, 499 on a calculator?

You can find the GCD of 495, 849, 962, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.