GCD of 494, 465, 840, 351 Calculator

Given Input numbers are 494, 465, 840, 351

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 494, 465, 840, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 465, 840, 351 is 1.

Therefore, GCD of numbers 494, 465, 840, 351 is 1

Given Input Data is 494, 465, 840, 351

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(494, 465) = 229710

GCD(494, 465) = ( 494 x 465 ) / 229710

GCD(494, 465) = 229710 / 229710

GCD(494, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 494, 465, 840, 351 is 1

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1. What is the GCD of 494, 465, 840, 351?

GCD of 494, 465, 840, 351 is 1

2. Where do I get the detailed procedure to find GCD of 494, 465, 840, 351?

You can find a detailed procedure to find GCD of 494, 465, 840, 351 on our page.

3. How to find GCD of 494, 465, 840, 351 on a calculator?

You can find the GCD of 494, 465, 840, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.