GCD of 228, 978, 72 Calculator

Given Input numbers are 228, 978, 72

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

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

GCD of numbers is the greatest common divisor

So, the GCD (228, 978, 72) = 6.

Given numbers are 228, 978, 72

The list of prime factors of all numbers are

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 228, 978, 72 is 6.

Given numbers are 228, 978, 72

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

Apply this formula for all numbers.

Step1:

LCM(228, 978) = 37164

GCD(228, 978) = ( 228 x 978 ) / 37164

= 228 / 978

= 228

Step2:

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

= 6 / 72

= 6

So, Greatest Common Divisor of 228, 978, 72 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 156, 30
• GCD of 175, 444, 46
• GCD of 411, 349, 30
• GCD of 875, 376, 56
• GCD of 151, 551, 67

Given numbers are 228, 978, 72
The greatest common divisor of numbers 228, 978, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 978, 72 is 6.

1. What is the GCD of 228, 978, 72?

GCD of given numbers 228, 978, 72 is 6

2. How to calculate the greatest common divisor of 228, 978, 72?

We can find the highest common divisor of 228, 978, 72 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 228, 978, 72 i.e 6.

3. How can I use the GCD of 228, 978, 72Calculator?

Out the numbers 228, 978, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.