GCD of 414, 649, 147, 481 Calculator

Given Input numbers are 414, 649, 147, 481

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Greatest Common Divisior

We found the divisors of 414, 649, 147, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 649, 147, 481 is 1.

Therefore, GCD of numbers 414, 649, 147, 481 is 1

Given Input Data is 414, 649, 147, 481

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 649 is 11 x 59

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 481 is 13 x 37

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(414, 649) = 268686

GCD(414, 649) = ( 414 x 649 ) / 268686

GCD(414, 649) = 268686 / 268686

GCD(414, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 481

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

LCM(1, 481) = 481

GCD(1, 481) = ( 1 x 481 ) / 481

GCD(1, 481) = 481 / 481

GCD(1, 481) = 1

GCD of 414, 649, 147, 481 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 573, 553, 944
• GCD of 136, 593, 450, 796
• GCD of 504, 993, 941, 152
• GCD of 980, 958, 742, 129
• GCD of 209, 142, 165, 573

1. What is the GCD of 414, 649, 147, 481?

GCD of 414, 649, 147, 481 is 1

2. Where do I get the detailed procedure to find GCD of 414, 649, 147, 481?

You can find a detailed procedure to find GCD of 414, 649, 147, 481 on our page.

3. How to find GCD of 414, 649, 147, 481 on a calculator?

You can find the GCD of 414, 649, 147, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.