GCD of 704, 565, 45, 703 Calculator

Given Input numbers are 704, 565, 45, 703

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 704, 565, 45, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 565, 45, 703 is 1.

Therefore, GCD of numbers 704, 565, 45, 703 is 1

Given Input Data is 704, 565, 45, 703

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 565 is 5 x 113

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 703 is 19 x 37

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, 565) = 397760

GCD(704, 565) = ( 704 x 565 ) / 397760

GCD(704, 565) = 397760 / 397760

GCD(704, 565) = 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 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 704, 565, 45, 703 is 1

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1. What is the GCD of 704, 565, 45, 703?

GCD of 704, 565, 45, 703 is 1

2. Where do I get the detailed procedure to find GCD of 704, 565, 45, 703?

You can find a detailed procedure to find GCD of 704, 565, 45, 703 on our page.

3. How to find GCD of 704, 565, 45, 703 on a calculator?

You can find the GCD of 704, 565, 45, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.