GCD of 825, 120, 34, 993 Calculator

Given Input numbers are 825, 120, 34, 993

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 825, 120, 34, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 120, 34, 993 is 1.

Therefore, GCD of numbers 825, 120, 34, 993 is 1

Given Input Data is 825, 120, 34, 993

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 34 is 2 x 17

Prime Factorization of 993 is 3 x 331

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(825, 120) = 6600

GCD(825, 120) = ( 825 x 120 ) / 6600

GCD(825, 120) = 99000 / 6600

GCD(825, 120) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 34

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

LCM(15, 34) = 510

GCD(15, 34) = ( 15 x 34 ) / 510

GCD(15, 34) = 510 / 510

GCD(15, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 825, 120, 34, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 254, 64, 117
• GCD of 106, 191, 27, 454
• GCD of 765, 169, 52, 234
• GCD of 212, 497, 98, 712
• GCD of 883, 401, 85, 137

1. What is the GCD of 825, 120, 34, 993?

GCD of 825, 120, 34, 993 is 1

2. Where do I get the detailed procedure to find GCD of 825, 120, 34, 993?

You can find a detailed procedure to find GCD of 825, 120, 34, 993 on our page.

3. How to find GCD of 825, 120, 34, 993 on a calculator?

You can find the GCD of 825, 120, 34, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.