GCD of 202, 783, 45, 696 Calculator

Given Input numbers are 202, 783, 45, 696

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 202, 783, 45, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 783, 45, 696 is 1.

Therefore, GCD of numbers 202, 783, 45, 696 is 1

Given Input Data is 202, 783, 45, 696

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(202, 783) = 158166

GCD(202, 783) = ( 202 x 783 ) / 158166

GCD(202, 783) = 158166 / 158166

GCD(202, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 202, 783, 45, 696 is 1

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1. What is the GCD of 202, 783, 45, 696?

GCD of 202, 783, 45, 696 is 1

2. Where do I get the detailed procedure to find GCD of 202, 783, 45, 696?

You can find a detailed procedure to find GCD of 202, 783, 45, 696 on our page.

3. How to find GCD of 202, 783, 45, 696 on a calculator?

You can find the GCD of 202, 783, 45, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.