GCD of 824, 753, 237, 132 Calculator

Given Input numbers are 824, 753, 237, 132

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

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

Greatest Common Divisior

We found the divisors of 824, 753, 237, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 753, 237, 132 is 1.

Therefore, GCD of numbers 824, 753, 237, 132 is 1

Given Input Data is 824, 753, 237, 132

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 753 is 3 x 251

Prime Factorization of 237 is 3 x 79

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

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(824, 753) = 620472

GCD(824, 753) = ( 824 x 753 ) / 620472

GCD(824, 753) = 620472 / 620472

GCD(824, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 237

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

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

GCD(1, 237) = 237 / 237

GCD(1, 237) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 824, 753, 237, 132 is 1

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1. What is the GCD of 824, 753, 237, 132?

GCD of 824, 753, 237, 132 is 1

2. Where do I get the detailed procedure to find GCD of 824, 753, 237, 132?

You can find a detailed procedure to find GCD of 824, 753, 237, 132 on our page.

3. How to find GCD of 824, 753, 237, 132 on a calculator?

You can find the GCD of 824, 753, 237, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.