GCD of 739, 862, 45, 648 Calculator

Given Input numbers are 739, 862, 45, 648

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

Divisors of 739

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

1, 739

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 739, 862, 45, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 862, 45, 648 is 1.

Therefore, GCD of numbers 739, 862, 45, 648 is 1

Given Input Data is 739, 862, 45, 648

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

Prime Factorization of 739 is 739

Prime Factorization of 862 is 2 x 431

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(739, 862) = 637018

GCD(739, 862) = ( 739 x 862 ) / 637018

GCD(739, 862) = 637018 / 637018

GCD(739, 862) = 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 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 739, 862, 45, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 469, 58, 528
• GCD of 333, 814, 84, 730
• GCD of 213, 911, 31, 270
• GCD of 638, 407, 70, 650
• GCD of 645, 680, 82, 271

1. What is the GCD of 739, 862, 45, 648?

GCD of 739, 862, 45, 648 is 1

2. Where do I get the detailed procedure to find GCD of 739, 862, 45, 648?

You can find a detailed procedure to find GCD of 739, 862, 45, 648 on our page.

3. How to find GCD of 739, 862, 45, 648 on a calculator?

You can find the GCD of 739, 862, 45, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.