GCD of 704, 533, 414 Calculator

Given Input numbers are 704, 533, 414

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 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 704, 533, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 533, 414 is 1.

Therefore, GCD of numbers 704, 533, 414 is 1

Given Input Data is 704, 533, 414

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 533 is 13 x 41

Prime Factorization of 414 is 2 x 3 x 3 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(704, 533) = 375232

GCD(704, 533) = ( 704 x 533 ) / 375232

GCD(704, 533) = 375232 / 375232

GCD(704, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 704, 533, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 365, 312
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• GCD of 330, 420, 402
• GCD of 965, 421, 716

1. What is the GCD of 704, 533, 414?

GCD of 704, 533, 414 is 1

2. Where do I get the detailed procedure to find GCD of 704, 533, 414?

You can find a detailed procedure to find GCD of 704, 533, 414 on our page.

3. How to find GCD of 704, 533, 414 on a calculator?

You can find the GCD of 704, 533, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.