GCD of 705, 168, 16, 704 Calculator

Given Input numbers are 705, 168, 16, 704

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

Divisors of 705

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

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 705, 168, 16, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 168, 16, 704 is 1.

Therefore, GCD of numbers 705, 168, 16, 704 is 1

Given Input Data is 705, 168, 16, 704

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(705, 168) = 39480

GCD(705, 168) = ( 705 x 168 ) / 39480

GCD(705, 168) = 118440 / 39480

GCD(705, 168) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 705, 168, 16, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 382, 39, 564
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• GCD of 347, 516, 22, 630
• GCD of 421, 163, 85, 967
• GCD of 962, 768, 63, 984

1. What is the GCD of 705, 168, 16, 704?

GCD of 705, 168, 16, 704 is 1

2. Where do I get the detailed procedure to find GCD of 705, 168, 16, 704?

You can find a detailed procedure to find GCD of 705, 168, 16, 704 on our page.

3. How to find GCD of 705, 168, 16, 704 on a calculator?

You can find the GCD of 705, 168, 16, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.