GCD of 632, 791, 814, 507 Calculator

Given Input numbers are 632, 791, 814, 507

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 632, 791, 814, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 791, 814, 507 is 1.

Therefore, GCD of numbers 632, 791, 814, 507 is 1

Given Input Data is 632, 791, 814, 507

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 791 is 7 x 113

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 507 is 3 x 13 x 13

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(632, 791) = 499912

GCD(632, 791) = ( 632 x 791 ) / 499912

GCD(632, 791) = 499912 / 499912

GCD(632, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 632, 791, 814, 507 is 1

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1. What is the GCD of 632, 791, 814, 507?

GCD of 632, 791, 814, 507 is 1

2. Where do I get the detailed procedure to find GCD of 632, 791, 814, 507?

You can find a detailed procedure to find GCD of 632, 791, 814, 507 on our page.

3. How to find GCD of 632, 791, 814, 507 on a calculator?

You can find the GCD of 632, 791, 814, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.