GCD of 736, 695, 16, 100 Calculator

Given Input numbers are 736, 695, 16, 100

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 736, 695, 16, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 695, 16, 100 is 1.

Therefore, GCD of numbers 736, 695, 16, 100 is 1

Given Input Data is 736, 695, 16, 100

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 695 is 5 x 139

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(736, 695) = 511520

GCD(736, 695) = ( 736 x 695 ) / 511520

GCD(736, 695) = 511520 / 511520

GCD(736, 695) = 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 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 736, 695, 16, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 740, 26, 576
• GCD of 874, 885, 19, 283
• GCD of 287, 408, 53, 551
• GCD of 160, 615, 49, 901
• GCD of 162, 534, 12, 517

1. What is the GCD of 736, 695, 16, 100?

GCD of 736, 695, 16, 100 is 1

2. Where do I get the detailed procedure to find GCD of 736, 695, 16, 100?

You can find a detailed procedure to find GCD of 736, 695, 16, 100 on our page.

3. How to find GCD of 736, 695, 16, 100 on a calculator?

You can find the GCD of 736, 695, 16, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.