GCD of 385, 414, 53 Calculator

Given Input numbers are 385, 414, 53

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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 53

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

1, 53

Greatest Common Divisior

We found the divisors of 385, 414, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 414, 53 is 1.

Therefore, GCD of numbers 385, 414, 53 is 1

Given Input Data is 385, 414, 53

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

Prime Factorization of 385 is 5 x 7 x 11

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

Prime Factorization of 53 is 53

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(385, 414) = 159390

GCD(385, 414) = ( 385 x 414 ) / 159390

GCD(385, 414) = 159390 / 159390

GCD(385, 414) = 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

GCD of 385, 414, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 416, 33
• GCD of 235, 373, 39
• GCD of 301, 580, 89
• GCD of 481, 779, 55
• GCD of 973, 534, 85

1. What is the GCD of 385, 414, 53?

GCD of 385, 414, 53 is 1

2. Where do I get the detailed procedure to find GCD of 385, 414, 53?

You can find a detailed procedure to find GCD of 385, 414, 53 on our page.

3. How to find GCD of 385, 414, 53 on a calculator?

You can find the GCD of 385, 414, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.