GCD of 976, 104, 37, 825 Calculator

Given Input numbers are 976, 104, 37, 825

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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

Greatest Common Divisior

We found the divisors of 976, 104, 37, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 104, 37, 825 is 1.

Therefore, GCD of numbers 976, 104, 37, 825 is 1

Given Input Data is 976, 104, 37, 825

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 37 is 37

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

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(976, 104) = 12688

GCD(976, 104) = ( 976 x 104 ) / 12688

GCD(976, 104) = 101504 / 12688

GCD(976, 104) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 37

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

LCM(8, 37) = 296

GCD(8, 37) = ( 8 x 37 ) / 296

GCD(8, 37) = 296 / 296

GCD(8, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 976, 104, 37, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 810, 33, 144
• GCD of 400, 481, 73, 959
• GCD of 675, 646, 31, 579
• GCD of 724, 280, 83, 661
• GCD of 370, 492, 33, 552

1. What is the GCD of 976, 104, 37, 825?

GCD of 976, 104, 37, 825 is 1

2. Where do I get the detailed procedure to find GCD of 976, 104, 37, 825?

You can find a detailed procedure to find GCD of 976, 104, 37, 825 on our page.

3. How to find GCD of 976, 104, 37, 825 on a calculator?

You can find the GCD of 976, 104, 37, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.