GCD of 70, 300, 116, 395 Calculator

Given Input numbers are 70, 300, 116, 395

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 70, 300, 116, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 300, 116, 395 is 1.

Therefore, GCD of numbers 70, 300, 116, 395 is 1

Given Input Data is 70, 300, 116, 395

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 116 is 2 x 2 x 29

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(70, 300) = 2100

GCD(70, 300) = ( 70 x 300 ) / 2100

GCD(70, 300) = 21000 / 2100

GCD(70, 300) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 116

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

LCM(10, 116) = 580

GCD(10, 116) = ( 10 x 116 ) / 580

GCD(10, 116) = 1160 / 580

GCD(10, 116) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

GCD of 70, 300, 116, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 918, 457, 164
• GCD of 84, 746, 318, 456
• GCD of 28, 601, 477, 931
• GCD of 59, 846, 778, 985
• GCD of 90, 785, 664, 234

1. What is the GCD of 70, 300, 116, 395?

GCD of 70, 300, 116, 395 is 1

2. Where do I get the detailed procedure to find GCD of 70, 300, 116, 395?

You can find a detailed procedure to find GCD of 70, 300, 116, 395 on our page.

3. How to find GCD of 70, 300, 116, 395 on a calculator?

You can find the GCD of 70, 300, 116, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.