GCD of 100, 144, 494, 727 Calculator

Given Input numbers are 100, 144, 494, 727

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

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 100, 144, 494, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 144, 494, 727 is 1.

Therefore, GCD of numbers 100, 144, 494, 727 is 1

Given Input Data is 100, 144, 494, 727

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

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 727 is 727

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(100, 144) = 3600

GCD(100, 144) = ( 100 x 144 ) / 3600

GCD(100, 144) = 14400 / 3600

GCD(100, 144) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 494

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

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

GCD(4, 494) = 1976 / 988

GCD(4, 494) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 727

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

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

GCD(2, 727) = 1454 / 1454

GCD(2, 727) = 1

GCD of 100, 144, 494, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 807, 240, 878
• GCD of 688, 759, 470, 365
• GCD of 581, 545, 232, 992
• GCD of 740, 526, 929, 813
• GCD of 726, 347, 589, 986

1. What is the GCD of 100, 144, 494, 727?

GCD of 100, 144, 494, 727 is 1

2. Where do I get the detailed procedure to find GCD of 100, 144, 494, 727?

You can find a detailed procedure to find GCD of 100, 144, 494, 727 on our page.

3. How to find GCD of 100, 144, 494, 727 on a calculator?

You can find the GCD of 100, 144, 494, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.