GCD of 95, 342, 989, 316 Calculator

Given Input numbers are 95, 342, 989, 316

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 95, 342, 989, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 342, 989, 316 is 1.

Therefore, GCD of numbers 95, 342, 989, 316 is 1

Given Input Data is 95, 342, 989, 316

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 989 is 23 x 43

Prime Factorization of 316 is 2 x 2 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(95, 342) = 1710

GCD(95, 342) = ( 95 x 342 ) / 1710

GCD(95, 342) = 32490 / 1710

GCD(95, 342) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 989

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

LCM(19, 989) = 18791

GCD(19, 989) = ( 19 x 989 ) / 18791

GCD(19, 989) = 18791 / 18791

GCD(19, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 95, 342, 989, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 658, 479, 604
• GCD of 81, 963, 955, 144
• GCD of 70, 270, 967, 322
• GCD of 63, 556, 524, 444
• GCD of 10, 186, 324, 570

1. What is the GCD of 95, 342, 989, 316?

GCD of 95, 342, 989, 316 is 1

2. Where do I get the detailed procedure to find GCD of 95, 342, 989, 316?

You can find a detailed procedure to find GCD of 95, 342, 989, 316 on our page.

3. How to find GCD of 95, 342, 989, 316 on a calculator?

You can find the GCD of 95, 342, 989, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.