GCD of 216, 946, 726, 228 Calculator

Given Input numbers are 216, 946, 726, 228

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 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (216, 946, 726, 228) = 2.

Given numbers are 216, 946, 726, 228

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 946 are 2 x 11 x 43

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

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 216, 946, 726, 228 is 2.

Given numbers are 216, 946, 726, 228

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

Apply this formula for all numbers.

Step1:

LCM(216, 946) = 102168

GCD(216, 946) = ( 216 x 946 ) / 102168

= 216 / 946

= 216

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 216, 946, 726, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 931, 188, 826
• GCD of 167, 949, 532, 449
• GCD of 630, 408, 944, 595
• GCD of 113, 493, 131, 467
• GCD of 889, 901, 360, 976

Given numbers are 216, 946, 726, 228
The greatest common divisor of numbers 216, 946, 726, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 946, 726, 228 is 2.

1. What is the GCD of 216, 946, 726, 228?

GCD of given numbers 216, 946, 726, 228 is 2

2. How to calculate the greatest common divisor of 216, 946, 726, 228?

We can find the highest common divisor of 216, 946, 726, 228 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, 946, 726, 228 i.e 2.

3. How can I use the GCD of 216, 946, 726, 228Calculator?

Out the numbers 216, 946, 726, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.