GCD of 399, 305, 60, 692 Calculator

Given Input numbers are 399, 305, 60, 692

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 399, 305, 60, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 305, 60, 692 is 1.

Therefore, GCD of numbers 399, 305, 60, 692 is 1

Given Input Data is 399, 305, 60, 692

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 305 is 5 x 61

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 692 is 2 x 2 x 173

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(399, 305) = 121695

GCD(399, 305) = ( 399 x 305 ) / 121695

GCD(399, 305) = 121695 / 121695

GCD(399, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 399, 305, 60, 692 is 1

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1. What is the GCD of 399, 305, 60, 692?

GCD of 399, 305, 60, 692 is 1

2. Where do I get the detailed procedure to find GCD of 399, 305, 60, 692?

You can find a detailed procedure to find GCD of 399, 305, 60, 692 on our page.

3. How to find GCD of 399, 305, 60, 692 on a calculator?

You can find the GCD of 399, 305, 60, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.