GCD of 825, 120, 82, 350 Calculator

Given Input numbers are 825, 120, 82, 350

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 825, 120, 82, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 120, 82, 350 is 1.

Therefore, GCD of numbers 825, 120, 82, 350 is 1

Given Input Data is 825, 120, 82, 350

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 82 is 2 x 41

Prime Factorization of 350 is 2 x 5 x 5 x 7

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 82

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

LCM(15, 82) = 1230

GCD(15, 82) = ( 15 x 82 ) / 1230

GCD(15, 82) = 1230 / 1230

GCD(15, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 825, 120, 82, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 626, 96, 142
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• GCD of 329, 629, 63, 265
• GCD of 881, 990, 37, 807
• GCD of 187, 556, 68, 745

1. What is the GCD of 825, 120, 82, 350?

GCD of 825, 120, 82, 350 is 1

2. Where do I get the detailed procedure to find GCD of 825, 120, 82, 350?

You can find a detailed procedure to find GCD of 825, 120, 82, 350 on our page.

3. How to find GCD of 825, 120, 82, 350 on a calculator?

You can find the GCD of 825, 120, 82, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.