GCD of 684, 831, 282, 135 Calculator

Given Input numbers are 684, 831, 282, 135

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

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 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (684, 831, 282, 135) = 3.

Given numbers are 684, 831, 282, 135

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 831 are 3 x 277

Prime factors of 282 are 2 x 3 x 47

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 684, 831, 282, 135 is 3.

Given numbers are 684, 831, 282, 135

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

Apply this formula for all numbers.

Step1:

LCM(684, 831) = 189468

GCD(684, 831) = ( 684 x 831 ) / 189468

= 684 / 831

= 684

Step2:

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

= 3 / 282

= 3

Step3:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

So, Greatest Common Divisor of 684, 831, 282, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 325, 412, 990
• GCD of 269, 457, 974, 754
• GCD of 498, 904, 169, 878
• GCD of 855, 253, 926, 498
• GCD of 932, 612, 336, 394

Given numbers are 684, 831, 282, 135
The greatest common divisor of numbers 684, 831, 282, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 831, 282, 135 is 3.

1. What is the GCD of 684, 831, 282, 135?

GCD of given numbers 684, 831, 282, 135 is 3

2. How to calculate the greatest common divisor of 684, 831, 282, 135?

We can find the highest common divisor of 684, 831, 282, 135 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 684, 831, 282, 135 i.e 3.

3. How can I use the GCD of 684, 831, 282, 135Calculator?

Out the numbers 684, 831, 282, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.