GCD of 216, 153, 831, 726 Calculator

Given Input numbers are 216, 153, 831, 726

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 831 :

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

1, 3, 277, 831

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (216, 153, 831, 726) = 3.

Given numbers are 216, 153, 831, 726

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 153 are 3 x 3 x 17

Prime factors of 831 are 3 x 277

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 216, 153, 831, 726 is 3.

Given numbers are 216, 153, 831, 726

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

Apply this formula for all numbers.

Step1:

LCM(216, 153) = 3672

GCD(216, 153) = ( 216 x 153 ) / 3672

= 216 / 153

= 216

Step2:

LCM(9, 831) = 2493

GCD(9, 831) = ( 9 x 831 ) / 2493

= 9 / 831

= 9

Step3:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3

So, Greatest Common Divisor of 216, 153, 831, 726 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 759, 823, 953
• GCD of 936, 736, 805, 995
• GCD of 602, 683, 650, 259
• GCD of 800, 788, 240, 385
• GCD of 489, 608, 780, 983

Given numbers are 216, 153, 831, 726
The greatest common divisor of numbers 216, 153, 831, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 153, 831, 726 is 3.

1. What is the GCD of 216, 153, 831, 726?

GCD of given numbers 216, 153, 831, 726 is 3

2. How to calculate the greatest common divisor of 216, 153, 831, 726?

We can find the highest common divisor of 216, 153, 831, 726 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 216, 153, 831, 726 i.e 3.

3. How can I use the GCD of 216, 153, 831, 726Calculator?

Out the numbers 216, 153, 831, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.