GCD of 45, 721, 222, 782 Calculator

Given Input numbers are 45, 721, 222, 782

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 45, 721, 222, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 721, 222, 782 is 1.

Therefore, GCD of numbers 45, 721, 222, 782 is 1

Given Input Data is 45, 721, 222, 782

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 721 is 7 x 103

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 782 is 2 x 17 x 23

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(45, 721) = 32445

GCD(45, 721) = ( 45 x 721 ) / 32445

GCD(45, 721) = 32445 / 32445

GCD(45, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 45, 721, 222, 782 is 1

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• GCD of 69, 649, 918, 387
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• GCD of 72, 566, 846, 304

1. What is the GCD of 45, 721, 222, 782?

GCD of 45, 721, 222, 782 is 1

2. Where do I get the detailed procedure to find GCD of 45, 721, 222, 782?

You can find a detailed procedure to find GCD of 45, 721, 222, 782 on our page.

3. How to find GCD of 45, 721, 222, 782 on a calculator?

You can find the GCD of 45, 721, 222, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.