GCD of 120, 841, 35, 318 Calculator

Given Input numbers are 120, 841, 35, 318

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 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 120, 841, 35, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 841, 35, 318 is 1.

Therefore, GCD of numbers 120, 841, 35, 318 is 1

Given Input Data is 120, 841, 35, 318

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 841 is 29 x 29

Prime Factorization of 35 is 5 x 7

Prime Factorization of 318 is 2 x 3 x 53

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, 841) = 100920

GCD(120, 841) = ( 120 x 841 ) / 100920

GCD(120, 841) = 100920 / 100920

GCD(120, 841) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 120, 841, 35, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 750, 95, 164
• GCD of 459, 259, 31, 209
• GCD of 113, 465, 92, 697
• GCD of 571, 671, 63, 351
• GCD of 471, 420, 36, 974

1. What is the GCD of 120, 841, 35, 318?

GCD of 120, 841, 35, 318 is 1

2. Where do I get the detailed procedure to find GCD of 120, 841, 35, 318?

You can find a detailed procedure to find GCD of 120, 841, 35, 318 on our page.

3. How to find GCD of 120, 841, 35, 318 on a calculator?

You can find the GCD of 120, 841, 35, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.