GCD of 704, 783, 58, 252 Calculator

Given Input numbers are 704, 783, 58, 252

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 704, 783, 58, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 783, 58, 252 is 1.

Therefore, GCD of numbers 704, 783, 58, 252 is 1

Given Input Data is 704, 783, 58, 252

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(704, 783) = 551232

GCD(704, 783) = ( 704 x 783 ) / 551232

GCD(704, 783) = 551232 / 551232

GCD(704, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 704, 783, 58, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 822, 39, 765
• GCD of 610, 338, 79, 543
• GCD of 299, 577, 28, 311
• GCD of 428, 124, 37, 856
• GCD of 145, 871, 68, 979

1. What is the GCD of 704, 783, 58, 252?

GCD of 704, 783, 58, 252 is 1

2. Where do I get the detailed procedure to find GCD of 704, 783, 58, 252?

You can find a detailed procedure to find GCD of 704, 783, 58, 252 on our page.

3. How to find GCD of 704, 783, 58, 252 on a calculator?

You can find the GCD of 704, 783, 58, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.