GCD of 45, 398, 915, 655 Calculator

Given Input numbers are 45, 398, 915, 655

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 45, 398, 915, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 398, 915, 655 is 1.

Therefore, GCD of numbers 45, 398, 915, 655 is 1

Given Input Data is 45, 398, 915, 655

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 398 is 2 x 199

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 655 is 5 x 131

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, 398) = 17910

GCD(45, 398) = ( 45 x 398 ) / 17910

GCD(45, 398) = 17910 / 17910

GCD(45, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 45, 398, 915, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 297, 519, 852
• GCD of 75, 497, 549, 937
• GCD of 49, 739, 870, 425
• GCD of 71, 264, 766, 621
• GCD of 34, 963, 793, 464

1. What is the GCD of 45, 398, 915, 655?

GCD of 45, 398, 915, 655 is 1

2. Where do I get the detailed procedure to find GCD of 45, 398, 915, 655?

You can find a detailed procedure to find GCD of 45, 398, 915, 655 on our page.

3. How to find GCD of 45, 398, 915, 655 on a calculator?

You can find the GCD of 45, 398, 915, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.