GCD of 96, 216, 138, 837 Calculator

Given Input numbers are 96, 216, 138, 837

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

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 96, 216, 138, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 216, 138, 837 is 3.

Therefore, GCD of numbers 96, 216, 138, 837 is 3

Given Input Data is 96, 216, 138, 837

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

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 837 is 3 x 3 x 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(96, 216) = 864

GCD(96, 216) = ( 96 x 216 ) / 864

GCD(96, 216) = 20736 / 864

GCD(96, 216) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 138

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

LCM(24, 138) = 552

GCD(24, 138) = ( 24 x 138 ) / 552

GCD(24, 138) = 3312 / 552

GCD(24, 138) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 837

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

LCM(6, 837) = 1674

GCD(6, 837) = ( 6 x 837 ) / 1674

GCD(6, 837) = 5022 / 1674

GCD(6, 837) = 3

GCD of 96, 216, 138, 837 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 101, 792, 135
• GCD of 95, 136, 738, 340
• GCD of 19, 123, 600, 292
• GCD of 54, 155, 764, 478
• GCD of 86, 603, 608, 791

1. What is the GCD of 96, 216, 138, 837?

GCD of 96, 216, 138, 837 is 3

2. Where do I get the detailed procedure to find GCD of 96, 216, 138, 837?

You can find a detailed procedure to find GCD of 96, 216, 138, 837 on our page.

3. How to find GCD of 96, 216, 138, 837 on a calculator?

You can find the GCD of 96, 216, 138, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.