GCD of 805, 378, 10, 118 Calculator

Given Input numbers are 805, 378, 10, 118

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 805, 378, 10, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 378, 10, 118 is 1.

Therefore, GCD of numbers 805, 378, 10, 118 is 1

Given Input Data is 805, 378, 10, 118

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 118 is 2 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(805, 378) = 43470

GCD(805, 378) = ( 805 x 378 ) / 43470

GCD(805, 378) = 304290 / 43470

GCD(805, 378) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 10

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

LCM(7, 10) = 70

GCD(7, 10) = ( 7 x 10 ) / 70

GCD(7, 10) = 70 / 70

GCD(7, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 805, 378, 10, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 803, 80, 323
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• GCD of 415, 622, 17, 588
• GCD of 624, 714, 94, 501

1. What is the GCD of 805, 378, 10, 118?

GCD of 805, 378, 10, 118 is 1

2. Where do I get the detailed procedure to find GCD of 805, 378, 10, 118?

You can find a detailed procedure to find GCD of 805, 378, 10, 118 on our page.

3. How to find GCD of 805, 378, 10, 118 on a calculator?

You can find the GCD of 805, 378, 10, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.