GCD of 839, 138, 409, 109 Calculator

Given Input numbers are 839, 138, 409, 109

In the factoring method, we have to find the divisors of all numbers

Divisors of 839 :

The positive integer divisors of 839 that completely divides 839 are.

1, 839

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (839, 138, 409, 109) = 1.

Given numbers are 839, 138, 409, 109

The list of prime factors of all numbers are

Prime factors of 839 are 839

Prime factors of 138 are 2 x 3 x 23

Prime factors of 409 are 409

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 839, 138, 409, 109

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(839, 138) = 115782

GCD(839, 138) = ( 839 x 138 ) / 115782

= 839 / 138

= 839

Step2:

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

= 1 / 409

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 839, 138, 409, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 541, 608, 851
• GCD of 179, 684, 363, 289
• GCD of 518, 108, 834, 305
• GCD of 527, 893, 222, 623
• GCD of 159, 164, 796, 785

Given numbers are 839, 138, 409, 109
The greatest common divisor of numbers 839, 138, 409, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 839, 138, 409, 109 is 1.

1. What is the GCD of 839, 138, 409, 109?

GCD of given numbers 839, 138, 409, 109 is 1

2. How to calculate the greatest common divisor of 839, 138, 409, 109?

We can find the highest common divisor of 839, 138, 409, 109 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 839, 138, 409, 109 i.e 1.

3. How can I use the GCD of 839, 138, 409, 109Calculator?

Out the numbers 839, 138, 409, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.