GCD of 752, 237, 923, 821 Calculator

Given Input numbers are 752, 237, 923, 821

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 237

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

1, 3, 79, 237

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 752, 237, 923, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 237, 923, 821 is 1.

Therefore, GCD of numbers 752, 237, 923, 821 is 1

Given Input Data is 752, 237, 923, 821

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 237 is 3 x 79

Prime Factorization of 923 is 13 x 71

Prime Factorization of 821 is 821

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(752, 237) = 178224

GCD(752, 237) = ( 752 x 237 ) / 178224

GCD(752, 237) = 178224 / 178224

GCD(752, 237) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 752, 237, 923, 821 is 1

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1. What is the GCD of 752, 237, 923, 821?

GCD of 752, 237, 923, 821 is 1

2. Where do I get the detailed procedure to find GCD of 752, 237, 923, 821?

You can find a detailed procedure to find GCD of 752, 237, 923, 821 on our page.

3. How to find GCD of 752, 237, 923, 821 on a calculator?

You can find the GCD of 752, 237, 923, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.