GCD of 831, 516, 36, 114 Calculator

Given Input numbers are 831, 516, 36, 114

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 831, 516, 36, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 516, 36, 114 is 3.

Therefore, GCD of numbers 831, 516, 36, 114 is 3

Given Input Data is 831, 516, 36, 114

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 114 is 2 x 3 x 19

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(831, 516) = 142932

GCD(831, 516) = ( 831 x 516 ) / 142932

GCD(831, 516) = 428796 / 142932

GCD(831, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 114

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

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

GCD(3, 114) = 342 / 114

GCD(3, 114) = 3

GCD of 831, 516, 36, 114 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 988, 61, 221
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• GCD of 646, 493, 15, 814
• GCD of 751, 573, 36, 913
• GCD of 372, 744, 42, 131

1. What is the GCD of 831, 516, 36, 114?

GCD of 831, 516, 36, 114 is 3

2. Where do I get the detailed procedure to find GCD of 831, 516, 36, 114?

You can find a detailed procedure to find GCD of 831, 516, 36, 114 on our page.

3. How to find GCD of 831, 516, 36, 114 on a calculator?

You can find the GCD of 831, 516, 36, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.