GCD of 120, 918, 95, 413 Calculator

Given Input numbers are 120, 918, 95, 413

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 120, 918, 95, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 918, 95, 413 is 1.

Therefore, GCD of numbers 120, 918, 95, 413 is 1

Given Input Data is 120, 918, 95, 413

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 95 is 5 x 19

Prime Factorization of 413 is 7 x 59

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(120, 918) = 18360

GCD(120, 918) = ( 120 x 918 ) / 18360

GCD(120, 918) = 110160 / 18360

GCD(120, 918) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 95

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

LCM(6, 95) = 570

GCD(6, 95) = ( 6 x 95 ) / 570

GCD(6, 95) = 570 / 570

GCD(6, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 120, 918, 95, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 223, 79, 351
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• GCD of 616, 993, 55, 664

1. What is the GCD of 120, 918, 95, 413?

GCD of 120, 918, 95, 413 is 1

2. Where do I get the detailed procedure to find GCD of 120, 918, 95, 413?

You can find a detailed procedure to find GCD of 120, 918, 95, 413 on our page.

3. How to find GCD of 120, 918, 95, 413 on a calculator?

You can find the GCD of 120, 918, 95, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.