GCD of 132, 600, 83, 516 Calculator

Given Input numbers are 132, 600, 83, 516

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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

Greatest Common Divisior

We found the divisors of 132, 600, 83, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 600, 83, 516 is 1.

Therefore, GCD of numbers 132, 600, 83, 516 is 1

Given Input Data is 132, 600, 83, 516

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 83 is 83

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

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(132, 600) = 6600

GCD(132, 600) = ( 132 x 600 ) / 6600

GCD(132, 600) = 79200 / 6600

GCD(132, 600) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 83

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

LCM(12, 83) = 996

GCD(12, 83) = ( 12 x 83 ) / 996

GCD(12, 83) = 996 / 996

GCD(12, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 132, 600, 83, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 281, 57, 269
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• GCD of 492, 186, 75, 880
• GCD of 915, 201, 36, 233
• GCD of 710, 936, 51, 250

1. What is the GCD of 132, 600, 83, 516?

GCD of 132, 600, 83, 516 is 1

2. Where do I get the detailed procedure to find GCD of 132, 600, 83, 516?

You can find a detailed procedure to find GCD of 132, 600, 83, 516 on our page.

3. How to find GCD of 132, 600, 83, 516 on a calculator?

You can find the GCD of 132, 600, 83, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.