GCD of 147, 149, 13, 784 Calculator

Given Input numbers are 147, 149, 13, 784

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 147, 149, 13, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 149, 13, 784 is 1.

Therefore, GCD of numbers 147, 149, 13, 784 is 1

Given Input Data is 147, 149, 13, 784

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 149 is 149

Prime Factorization of 13 is 13

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(147, 149) = 21903

GCD(147, 149) = ( 147 x 149 ) / 21903

GCD(147, 149) = 21903 / 21903

GCD(147, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 147, 149, 13, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 117, 29, 603
• GCD of 408, 997, 63, 172
• GCD of 122, 371, 28, 100
• GCD of 347, 930, 35, 587
• GCD of 151, 444, 10, 262

1. What is the GCD of 147, 149, 13, 784?

GCD of 147, 149, 13, 784 is 1

2. Where do I get the detailed procedure to find GCD of 147, 149, 13, 784?

You can find a detailed procedure to find GCD of 147, 149, 13, 784 on our page.

3. How to find GCD of 147, 149, 13, 784 on a calculator?

You can find the GCD of 147, 149, 13, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.