GCD of 696, 108, 846, 243 Calculator

Given Input numbers are 696, 108, 846, 243

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 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 (696, 108, 846, 243) = 3.

Given numbers are 696, 108, 846, 243

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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 243 are 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 696, 108, 846, 243 is 3.

Given numbers are 696, 108, 846, 243

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

Apply this formula for all numbers.

Step1:

LCM(696, 108) = 6264

GCD(696, 108) = ( 696 x 108 ) / 6264

= 696 / 108

= 696

Step2:

LCM(12, 846) = 1692

GCD(12, 846) = ( 12 x 846 ) / 1692

= 12 / 846

= 12

Step3:

LCM(6, 243) = 486

GCD(6, 243) = ( 6 x 243 ) / 486

= 6 / 243

= 6

So, Greatest Common Divisor of 696, 108, 846, 243 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 578, 804, 965
• GCD of 480, 193, 506, 230
• GCD of 750, 636, 493, 503
• GCD of 316, 695, 193, 791
• GCD of 409, 668, 553, 318

Given numbers are 696, 108, 846, 243
The greatest common divisor of numbers 696, 108, 846, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 108, 846, 243 is 3.

1. What is the GCD of 696, 108, 846, 243?

GCD of given numbers 696, 108, 846, 243 is 3

2. How to calculate the greatest common divisor of 696, 108, 846, 243?

We can find the highest common divisor of 696, 108, 846, 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 696, 108, 846, 243 i.e 3.

3. How can I use the GCD of 696, 108, 846, 243Calculator?

Out the numbers 696, 108, 846, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.