GCD of 108, 854, 643, 840 Calculator

Given Input numbers are 108, 854, 643, 840

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (108, 854, 643, 840) = 1.

Given numbers are 108, 854, 643, 840

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 854 are 2 x 7 x 61

Prime factors of 643 are 643

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Given numbers are 108, 854, 643, 840

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

Apply this formula for all numbers.

Step1:

LCM(108, 854) = 46116

GCD(108, 854) = ( 108 x 854 ) / 46116

= 108 / 854

= 108

Step2:

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

= 2 / 643

= 2

Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

So, Greatest Common Divisor of 108, 854, 643, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 839, 397, 799
• GCD of 178, 686, 769, 877
• GCD of 531, 119, 887, 325
• GCD of 615, 647, 400, 455
• GCD of 918, 870, 671, 682

Given numbers are 108, 854, 643, 840
The greatest common divisor of numbers 108, 854, 643, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 854, 643, 840 is 1.

1. What is the GCD of 108, 854, 643, 840?

GCD of given numbers 108, 854, 643, 840 is 1

2. How to calculate the greatest common divisor of 108, 854, 643, 840?

We can find the highest common divisor of 108, 854, 643, 840 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, 854, 643, 840 i.e 1.

3. How can I use the GCD of 108, 854, 643, 840Calculator?

Out the numbers 108, 854, 643, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.