GCD of 732, 218, 458, 775 Calculator

Given Input numbers are 732, 218, 458, 775

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 732, 218, 458, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 218, 458, 775 is 1.

Therefore, GCD of numbers 732, 218, 458, 775 is 1

Given Input Data is 732, 218, 458, 775

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 218 is 2 x 109

Prime Factorization of 458 is 2 x 229

Prime Factorization of 775 is 5 x 5 x 31

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(732, 218) = 79788

GCD(732, 218) = ( 732 x 218 ) / 79788

GCD(732, 218) = 159576 / 79788

GCD(732, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 775

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

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

GCD(2, 775) = 1550 / 1550

GCD(2, 775) = 1

GCD of 732, 218, 458, 775 is 1

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1. What is the GCD of 732, 218, 458, 775?

GCD of 732, 218, 458, 775 is 1

2. Where do I get the detailed procedure to find GCD of 732, 218, 458, 775?

You can find a detailed procedure to find GCD of 732, 218, 458, 775 on our page.

3. How to find GCD of 732, 218, 458, 775 on a calculator?

You can find the GCD of 732, 218, 458, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.