GCD of 407, 196, 16, 705 Calculator

Given Input numbers are 407, 196, 16, 705

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 407, 196, 16, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 196, 16, 705 is 1.

Therefore, GCD of numbers 407, 196, 16, 705 is 1

Given Input Data is 407, 196, 16, 705

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Prime Factorization of 705 is 3 x 5 x 47

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(407, 196) = 79772

GCD(407, 196) = ( 407 x 196 ) / 79772

GCD(407, 196) = 79772 / 79772

GCD(407, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 407, 196, 16, 705 is 1

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1. What is the GCD of 407, 196, 16, 705?

GCD of 407, 196, 16, 705 is 1

2. Where do I get the detailed procedure to find GCD of 407, 196, 16, 705?

You can find a detailed procedure to find GCD of 407, 196, 16, 705 on our page.

3. How to find GCD of 407, 196, 16, 705 on a calculator?

You can find the GCD of 407, 196, 16, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.