GCD of 270, 624, 99, 614 Calculator

Given Input numbers are 270, 624, 99, 614

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 614

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

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 270, 624, 99, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 624, 99, 614 is 1.

Therefore, GCD of numbers 270, 624, 99, 614 is 1

Given Input Data is 270, 624, 99, 614

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 614 is 2 x 307

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(270, 624) = 28080

GCD(270, 624) = ( 270 x 624 ) / 28080

GCD(270, 624) = 168480 / 28080

GCD(270, 624) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 99

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

LCM(6, 99) = 198

GCD(6, 99) = ( 6 x 99 ) / 198

GCD(6, 99) = 594 / 198

GCD(6, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 614

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

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

GCD(3, 614) = 1842 / 1842

GCD(3, 614) = 1

GCD of 270, 624, 99, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 943, 84, 955
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• GCD of 959, 278, 61, 103

1. What is the GCD of 270, 624, 99, 614?

GCD of 270, 624, 99, 614 is 1

2. Where do I get the detailed procedure to find GCD of 270, 624, 99, 614?

You can find a detailed procedure to find GCD of 270, 624, 99, 614 on our page.

3. How to find GCD of 270, 624, 99, 614 on a calculator?

You can find the GCD of 270, 624, 99, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.