GCD of 991, 289, 825, 139 Calculator

Given Input numbers are 991, 289, 825, 139

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 991, 289, 825, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 289, 825, 139 is 1.

Therefore, GCD of numbers 991, 289, 825, 139 is 1

Given Input Data is 991, 289, 825, 139

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

Prime Factorization of 991 is 991

Prime Factorization of 289 is 17 x 17

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

Prime Factorization of 139 is 139

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(991, 289) = 286399

GCD(991, 289) = ( 991 x 289 ) / 286399

GCD(991, 289) = 286399 / 286399

GCD(991, 289) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 991, 289, 825, 139 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 458, 750, 791
• GCD of 969, 203, 253, 852
• GCD of 219, 206, 745, 347
• GCD of 408, 833, 490, 690
• GCD of 330, 677, 613, 799

1. What is the GCD of 991, 289, 825, 139?

GCD of 991, 289, 825, 139 is 1

2. Where do I get the detailed procedure to find GCD of 991, 289, 825, 139?

You can find a detailed procedure to find GCD of 991, 289, 825, 139 on our page.

3. How to find GCD of 991, 289, 825, 139 on a calculator?

You can find the GCD of 991, 289, 825, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.