GCD of 108, 846, 678, 983 Calculator

Given Input numbers are 108, 846, 678, 983

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

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 846 :

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

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

GCD of numbers is the greatest common divisor

So, the GCD (108, 846, 678, 983) = 1.

Given numbers are 108, 846, 678, 983

The list of prime factors of all numbers are

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

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

Prime factors of 678 are 2 x 3 x 113

Prime factors of 983 are 983

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

Given numbers are 108, 846, 678, 983

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

Apply this formula for all numbers.

Step1:

LCM(108, 846) = 5076

GCD(108, 846) = ( 108 x 846 ) / 5076

= 108 / 846

= 108

Step2:

LCM(18, 678) = 2034

GCD(18, 678) = ( 18 x 678 ) / 2034

= 18 / 678

= 18

Step3:

LCM(6, 983) = 5898

GCD(6, 983) = ( 6 x 983 ) / 5898

= 6 / 983

= 6

So, Greatest Common Divisor of 108, 846, 678, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 620, 963, 424
• GCD of 761, 565, 962, 406
• GCD of 424, 493, 863, 892
• GCD of 805, 129, 645, 415
• GCD of 391, 288, 684, 820

Given numbers are 108, 846, 678, 983
The greatest common divisor of numbers 108, 846, 678, 983 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 846, 678, 983 is 1.

1. What is the GCD of 108, 846, 678, 983?

GCD of given numbers 108, 846, 678, 983 is 1

2. How to calculate the greatest common divisor of 108, 846, 678, 983?

We can find the highest common divisor of 108, 846, 678, 983 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 108, 846, 678, 983 i.e 1.

3. How can I use the GCD of 108, 846, 678, 983Calculator?

Out the numbers 108, 846, 678, 983 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.