GCD of 16, 490, 347, 461 Calculator

Given Input numbers are 16, 490, 347, 461

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 16, 490, 347, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 490, 347, 461 is 1.

Therefore, GCD of numbers 16, 490, 347, 461 is 1

Given Input Data is 16, 490, 347, 461

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 347 is 347

Prime Factorization of 461 is 461

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(16, 490) = 3920

GCD(16, 490) = ( 16 x 490 ) / 3920

GCD(16, 490) = 7840 / 3920

GCD(16, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 347

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

LCM(2, 347) = 694

GCD(2, 347) = ( 2 x 347 ) / 694

GCD(2, 347) = 694 / 694

GCD(2, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 16, 490, 347, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 982, 100, 655
• GCD of 87, 455, 505, 351
• GCD of 71, 757, 839, 534
• GCD of 31, 142, 884, 727
• GCD of 73, 504, 976, 875

1. What is the GCD of 16, 490, 347, 461?

GCD of 16, 490, 347, 461 is 1

2. Where do I get the detailed procedure to find GCD of 16, 490, 347, 461?

You can find a detailed procedure to find GCD of 16, 490, 347, 461 on our page.

3. How to find GCD of 16, 490, 347, 461 on a calculator?

You can find the GCD of 16, 490, 347, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.