GCD of 752, 630, 331, 471 Calculator

Given Input numbers are 752, 630, 331, 471

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 752, 630, 331, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 630, 331, 471 is 1.

Therefore, GCD of numbers 752, 630, 331, 471 is 1

Given Input Data is 752, 630, 331, 471

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 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 331 is 331

Prime Factorization of 471 is 3 x 157

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, 630) = 236880

GCD(752, 630) = ( 752 x 630 ) / 236880

GCD(752, 630) = 473760 / 236880

GCD(752, 630) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 331

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

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

GCD(2, 331) = 662 / 662

GCD(2, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 752, 630, 331, 471 is 1

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1. What is the GCD of 752, 630, 331, 471?

GCD of 752, 630, 331, 471 is 1

2. Where do I get the detailed procedure to find GCD of 752, 630, 331, 471?

You can find a detailed procedure to find GCD of 752, 630, 331, 471 on our page.

3. How to find GCD of 752, 630, 331, 471 on a calculator?

You can find the GCD of 752, 630, 331, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.