GCD of 839, 654, 53, 117 Calculator

Given Input numbers are 839, 654, 53, 117

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 839, 654, 53, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 654, 53, 117 is 1.

Therefore, GCD of numbers 839, 654, 53, 117 is 1

Given Input Data is 839, 654, 53, 117

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

Prime Factorization of 839 is 839

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 53 is 53

Prime Factorization of 117 is 3 x 3 x 13

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, 654) = 548706

GCD(839, 654) = ( 839 x 654 ) / 548706

GCD(839, 654) = 548706 / 548706

GCD(839, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 839, 654, 53, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 939, 30, 494
• GCD of 312, 998, 51, 373
• GCD of 599, 406, 16, 897
• GCD of 437, 589, 68, 666
• GCD of 417, 563, 88, 235

1. What is the GCD of 839, 654, 53, 117?

GCD of 839, 654, 53, 117 is 1

2. Where do I get the detailed procedure to find GCD of 839, 654, 53, 117?

You can find a detailed procedure to find GCD of 839, 654, 53, 117 on our page.

3. How to find GCD of 839, 654, 53, 117 on a calculator?

You can find the GCD of 839, 654, 53, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.