GCD of 385, 900, 84, 117 Calculator

Given Input numbers are 385, 900, 84, 117

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 385, 900, 84, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 900, 84, 117 is 1.

Therefore, GCD of numbers 385, 900, 84, 117 is 1

Given Input Data is 385, 900, 84, 117

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 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 117 is 3 x 3 x 13

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, 900) = 69300

GCD(385, 900) = ( 385 x 900 ) / 69300

GCD(385, 900) = 346500 / 69300

GCD(385, 900) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 84

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

LCM(5, 84) = 420

GCD(5, 84) = ( 5 x 84 ) / 420

GCD(5, 84) = 420 / 420

GCD(5, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 385, 900, 84, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 493, 65, 481
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• GCD of 956, 208, 39, 927

1. What is the GCD of 385, 900, 84, 117?

GCD of 385, 900, 84, 117 is 1

2. Where do I get the detailed procedure to find GCD of 385, 900, 84, 117?

You can find a detailed procedure to find GCD of 385, 900, 84, 117 on our page.

3. How to find GCD of 385, 900, 84, 117 on a calculator?

You can find the GCD of 385, 900, 84, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.