GCD of 30, 828, 965, 984 Calculator

Given Input numbers are 30, 828, 965, 984

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 30, 828, 965, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 828, 965, 984 is 1.

Therefore, GCD of numbers 30, 828, 965, 984 is 1

Given Input Data is 30, 828, 965, 984

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 965 is 5 x 193

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(30, 828) = 4140

GCD(30, 828) = ( 30 x 828 ) / 4140

GCD(30, 828) = 24840 / 4140

GCD(30, 828) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 965

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

LCM(6, 965) = 5790

GCD(6, 965) = ( 6 x 965 ) / 5790

GCD(6, 965) = 5790 / 5790

GCD(6, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 30, 828, 965, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 996, 524, 522
• GCD of 52, 666, 334, 359
• GCD of 40, 995, 699, 259
• GCD of 60, 490, 164, 201
• GCD of 32, 488, 755, 666

1. What is the GCD of 30, 828, 965, 984?

GCD of 30, 828, 965, 984 is 1

2. Where do I get the detailed procedure to find GCD of 30, 828, 965, 984?

You can find a detailed procedure to find GCD of 30, 828, 965, 984 on our page.

3. How to find GCD of 30, 828, 965, 984 on a calculator?

You can find the GCD of 30, 828, 965, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.