GCD of 783, 748, 916, 453 Calculator

Given Input numbers are 783, 748, 916, 453

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

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 783, 748, 916, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 748, 916, 453 is 1.

Therefore, GCD of numbers 783, 748, 916, 453 is 1

Given Input Data is 783, 748, 916, 453

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

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 453 is 3 x 151

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(783, 748) = 585684

GCD(783, 748) = ( 783 x 748 ) / 585684

GCD(783, 748) = 585684 / 585684

GCD(783, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 783, 748, 916, 453 is 1

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1. What is the GCD of 783, 748, 916, 453?

GCD of 783, 748, 916, 453 is 1

2. Where do I get the detailed procedure to find GCD of 783, 748, 916, 453?

You can find a detailed procedure to find GCD of 783, 748, 916, 453 on our page.

3. How to find GCD of 783, 748, 916, 453 on a calculator?

You can find the GCD of 783, 748, 916, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.