GCD of 972, 858, 447, 228 Calculator

Given Input numbers are 972, 858, 447, 228

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

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 (972, 858, 447, 228) = 3.

Given numbers are 972, 858, 447, 228

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 447 are 3 x 149

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

The highest common occurrence is 3¹

Therefore, GCD of 972, 858, 447, 228 is 3.

Given numbers are 972, 858, 447, 228

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

Apply this formula for all numbers.

Step1:

LCM(972, 858) = 138996

GCD(972, 858) = ( 972 x 858 ) / 138996

= 972 / 858

= 972

Step2:

LCM(6, 447) = 894

GCD(6, 447) = ( 6 x 447 ) / 894

= 6 / 447

= 6

Step3:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

So, Greatest Common Divisor of 972, 858, 447, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 286, 203, 672
• GCD of 354, 277, 391, 182
• GCD of 717, 445, 140, 458
• GCD of 394, 867, 259, 280
• GCD of 315, 578, 356, 614

Given numbers are 972, 858, 447, 228
The greatest common divisor of numbers 972, 858, 447, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 858, 447, 228 is 3.

1. What is the GCD of 972, 858, 447, 228?

GCD of given numbers 972, 858, 447, 228 is 3

2. How to calculate the greatest common divisor of 972, 858, 447, 228?

We can find the highest common divisor of 972, 858, 447, 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 972, 858, 447, 228 i.e 3.

3. How can I use the GCD of 972, 858, 447, 228Calculator?

Out the numbers 972, 858, 447, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.