GCD of 123, 108, 349, 846 Calculator

Given Input numbers are 123, 108, 349, 846

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (123, 108, 349, 846) = 1.

Given numbers are 123, 108, 349, 846

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 349 are 349

Prime factors of 846 are 2 x 3 x 3 x 47

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

Given numbers are 123, 108, 349, 846

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

Apply this formula for all numbers.

Step1:

LCM(123, 108) = 4428

GCD(123, 108) = ( 123 x 108 ) / 4428

= 123 / 108

= 123

Step2:

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

= 3 / 349

= 3

Step3:

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

= 1 / 846

= 1

So, Greatest Common Divisor of 123, 108, 349, 846 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 559, 104, 788
• GCD of 610, 171, 891, 373
• GCD of 937, 281, 372, 551
• GCD of 731, 627, 663, 744
• GCD of 983, 170, 120, 558

Given numbers are 123, 108, 349, 846
The greatest common divisor of numbers 123, 108, 349, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 108, 349, 846 is 1.

1. What is the GCD of 123, 108, 349, 846?

GCD of given numbers 123, 108, 349, 846 is 1

2. How to calculate the greatest common divisor of 123, 108, 349, 846?

We can find the highest common divisor of 123, 108, 349, 846 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 123, 108, 349, 846 i.e 1.

3. How can I use the GCD of 123, 108, 349, 846Calculator?

Out the numbers 123, 108, 349, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.