GCD of 120, 395, 82, 740 Calculator

Given Input numbers are 120, 395, 82, 740

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 395

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

1, 5, 79, 395

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 120, 395, 82, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 395, 82, 740 is 1.

Therefore, GCD of numbers 120, 395, 82, 740 is 1

Given Input Data is 120, 395, 82, 740

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 395 is 5 x 79

Prime Factorization of 82 is 2 x 41

Prime Factorization of 740 is 2 x 2 x 5 x 37

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, 395) = 9480

GCD(120, 395) = ( 120 x 395 ) / 9480

GCD(120, 395) = 47400 / 9480

GCD(120, 395) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 82

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

LCM(5, 82) = 410

GCD(5, 82) = ( 5 x 82 ) / 410

GCD(5, 82) = 410 / 410

GCD(5, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 120, 395, 82, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 543, 87, 125
• GCD of 271, 121, 43, 475
• GCD of 810, 232, 72, 247
• GCD of 526, 450, 29, 610
• GCD of 151, 880, 11, 451

1. What is the GCD of 120, 395, 82, 740?

GCD of 120, 395, 82, 740 is 1

2. Where do I get the detailed procedure to find GCD of 120, 395, 82, 740?

You can find a detailed procedure to find GCD of 120, 395, 82, 740 on our page.

3. How to find GCD of 120, 395, 82, 740 on a calculator?

You can find the GCD of 120, 395, 82, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.