GCD of 45, 626, 739, 584 Calculator

Given Input numbers are 45, 626, 739, 584

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 45, 626, 739, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 626, 739, 584 is 1.

Therefore, GCD of numbers 45, 626, 739, 584 is 1

Given Input Data is 45, 626, 739, 584

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 626 is 2 x 313

Prime Factorization of 739 is 739

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(45, 626) = 28170

GCD(45, 626) = ( 45 x 626 ) / 28170

GCD(45, 626) = 28170 / 28170

GCD(45, 626) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 45, 626, 739, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 661, 702, 367
• GCD of 30, 613, 467, 401
• GCD of 94, 180, 189, 165
• GCD of 72, 691, 318, 518
• GCD of 55, 309, 786, 148

1. What is the GCD of 45, 626, 739, 584?

GCD of 45, 626, 739, 584 is 1

2. Where do I get the detailed procedure to find GCD of 45, 626, 739, 584?

You can find a detailed procedure to find GCD of 45, 626, 739, 584 on our page.

3. How to find GCD of 45, 626, 739, 584 on a calculator?

You can find the GCD of 45, 626, 739, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.