GCD of 839, 140, 259, 553 Calculator

Given Input numbers are 839, 140, 259, 553

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 839, 140, 259, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 140, 259, 553 is 1.

Therefore, GCD of numbers 839, 140, 259, 553 is 1

Given Input Data is 839, 140, 259, 553

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

Prime Factorization of 839 is 839

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 259 is 7 x 37

Prime Factorization of 553 is 7 x 79

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(839, 140) = 117460

GCD(839, 140) = ( 839 x 140 ) / 117460

GCD(839, 140) = 117460 / 117460

GCD(839, 140) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 839, 140, 259, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 781, 456, 826
• GCD of 364, 322, 988, 783
• GCD of 634, 211, 647, 428
• GCD of 407, 227, 658, 910
• GCD of 456, 970, 476, 492

1. What is the GCD of 839, 140, 259, 553?

GCD of 839, 140, 259, 553 is 1

2. Where do I get the detailed procedure to find GCD of 839, 140, 259, 553?

You can find a detailed procedure to find GCD of 839, 140, 259, 553 on our page.

3. How to find GCD of 839, 140, 259, 553 on a calculator?

You can find the GCD of 839, 140, 259, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.