GCD of 436, 704, 59, 223 Calculator

Given Input numbers are 436, 704, 59, 223

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 436, 704, 59, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 704, 59, 223 is 1.

Therefore, GCD of numbers 436, 704, 59, 223 is 1

Given Input Data is 436, 704, 59, 223

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

Prime Factorization of 436 is 2 x 2 x 109

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

Prime Factorization of 59 is 59

Prime Factorization of 223 is 223

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(436, 704) = 76736

GCD(436, 704) = ( 436 x 704 ) / 76736

GCD(436, 704) = 306944 / 76736

GCD(436, 704) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 59

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

LCM(4, 59) = 236

GCD(4, 59) = ( 4 x 59 ) / 236

GCD(4, 59) = 236 / 236

GCD(4, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 436, 704, 59, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 228, 32, 774
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• GCD of 992, 855, 13, 744

1. What is the GCD of 436, 704, 59, 223?

GCD of 436, 704, 59, 223 is 1

2. Where do I get the detailed procedure to find GCD of 436, 704, 59, 223?

You can find a detailed procedure to find GCD of 436, 704, 59, 223 on our page.

3. How to find GCD of 436, 704, 59, 223 on a calculator?

You can find the GCD of 436, 704, 59, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.