GCD of 61, 120, 814, 395 Calculator

Given Input numbers are 61, 120, 814, 395

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 61, 120, 814, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 120, 814, 395 is 1.

Therefore, GCD of numbers 61, 120, 814, 395 is 1

Given Input Data is 61, 120, 814, 395

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

Prime Factorization of 61 is 61

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 395 is 5 x 79

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(61, 120) = 7320

GCD(61, 120) = ( 61 x 120 ) / 7320

GCD(61, 120) = 7320 / 7320

GCD(61, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 61, 120, 814, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 498, 137, 109
• GCD of 20, 766, 743, 853
• GCD of 97, 642, 675, 593
• GCD of 97, 566, 488, 120
• GCD of 22, 917, 355, 619

1. What is the GCD of 61, 120, 814, 395?

GCD of 61, 120, 814, 395 is 1

2. Where do I get the detailed procedure to find GCD of 61, 120, 814, 395?

You can find a detailed procedure to find GCD of 61, 120, 814, 395 on our page.

3. How to find GCD of 61, 120, 814, 395 on a calculator?

You can find the GCD of 61, 120, 814, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.