GCD of 601, 814, 53, 480 Calculator

Given Input numbers are 601, 814, 53, 480

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

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 601, 814, 53, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 814, 53, 480 is 1.

Therefore, GCD of numbers 601, 814, 53, 480 is 1

Given Input Data is 601, 814, 53, 480

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

Prime Factorization of 601 is 601

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 53 is 53

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 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(601, 814) = 489214

GCD(601, 814) = ( 601 x 814 ) / 489214

GCD(601, 814) = 489214 / 489214

GCD(601, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 601, 814, 53, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 346, 68, 788
• GCD of 400, 961, 32, 765
• GCD of 460, 100, 95, 395
• GCD of 170, 204, 37, 905
• GCD of 925, 136, 44, 304

1. What is the GCD of 601, 814, 53, 480?

GCD of 601, 814, 53, 480 is 1

2. Where do I get the detailed procedure to find GCD of 601, 814, 53, 480?

You can find a detailed procedure to find GCD of 601, 814, 53, 480 on our page.

3. How to find GCD of 601, 814, 53, 480 on a calculator?

You can find the GCD of 601, 814, 53, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.