GCD of 614, 899, 96, 213 Calculator

Given Input numbers are 614, 899, 96, 213

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 614, 899, 96, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 899, 96, 213 is 1.

Therefore, GCD of numbers 614, 899, 96, 213 is 1

Given Input Data is 614, 899, 96, 213

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 899 is 29 x 31

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 213 is 3 x 71

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(614, 899) = 551986

GCD(614, 899) = ( 614 x 899 ) / 551986

GCD(614, 899) = 551986 / 551986

GCD(614, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 614, 899, 96, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 801, 32, 945
• GCD of 559, 175, 68, 314
• GCD of 633, 546, 94, 771
• GCD of 611, 641, 14, 820
• GCD of 692, 911, 47, 443

1. What is the GCD of 614, 899, 96, 213?

GCD of 614, 899, 96, 213 is 1

2. Where do I get the detailed procedure to find GCD of 614, 899, 96, 213?

You can find a detailed procedure to find GCD of 614, 899, 96, 213 on our page.

3. How to find GCD of 614, 899, 96, 213 on a calculator?

You can find the GCD of 614, 899, 96, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.