GCD of 108, 684, 160, 243 Calculator

Given Input numbers are 108, 684, 160, 243

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (108, 684, 160, 243) = 1.

Given numbers are 108, 684, 160, 243

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 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

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

Given numbers are 108, 684, 160, 243

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

Apply this formula for all numbers.

Step1:

LCM(108, 684) = 2052

GCD(108, 684) = ( 108 x 684 ) / 2052

= 108 / 684

= 108

Step2:

LCM(36, 160) = 1440

GCD(36, 160) = ( 36 x 160 ) / 1440

= 36 / 160

= 36

Step3:

LCM(4, 243) = 972

GCD(4, 243) = ( 4 x 243 ) / 972

= 4 / 243

= 4

So, Greatest Common Divisor of 108, 684, 160, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 618, 150, 470
• GCD of 385, 597, 945, 964
• GCD of 729, 934, 303, 487
• GCD of 333, 243, 472, 468
• GCD of 693, 313, 750, 549

Given numbers are 108, 684, 160, 243
The greatest common divisor of numbers 108, 684, 160, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 684, 160, 243 is 1.

1. What is the GCD of 108, 684, 160, 243?

GCD of given numbers 108, 684, 160, 243 is 1

2. How to calculate the greatest common divisor of 108, 684, 160, 243?

We can find the highest common divisor of 108, 684, 160, 243 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, 684, 160, 243 i.e 1.

3. How can I use the GCD of 108, 684, 160, 243Calculator?

Out the numbers 108, 684, 160, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.