GCD of 828, 984, 507, 155 Calculator

Given Input numbers are 828, 984, 507, 155

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

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 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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 828, 984, 507, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 984, 507, 155 is 1.

Therefore, GCD of numbers 828, 984, 507, 155 is 1

Given Input Data is 828, 984, 507, 155

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

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

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 155 is 5 x 31

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(828, 984) = 67896

GCD(828, 984) = ( 828 x 984 ) / 67896

GCD(828, 984) = 814752 / 67896

GCD(828, 984) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 507

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

LCM(12, 507) = 2028

GCD(12, 507) = ( 12 x 507 ) / 2028

GCD(12, 507) = 6084 / 2028

GCD(12, 507) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 155

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

LCM(3, 155) = 465

GCD(3, 155) = ( 3 x 155 ) / 465

GCD(3, 155) = 465 / 465

GCD(3, 155) = 1

GCD of 828, 984, 507, 155 is 1

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1. What is the GCD of 828, 984, 507, 155?

GCD of 828, 984, 507, 155 is 1

2. Where do I get the detailed procedure to find GCD of 828, 984, 507, 155?

You can find a detailed procedure to find GCD of 828, 984, 507, 155 on our page.

3. How to find GCD of 828, 984, 507, 155 on a calculator?

You can find the GCD of 828, 984, 507, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.