GCD of 972, 228, 68, 254 Calculator

Given Input numbers are 972, 228, 68, 254

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 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 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

GCD of numbers is the greatest common divisor

So, the GCD (972, 228, 68, 254) = 2.

Given numbers are 972, 228, 68, 254

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 228 are 2 x 2 x 3 x 19

Prime factors of 68 are 2 x 2 x 17

Prime factors of 254 are 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 972, 228, 68, 254 is 2.

Given numbers are 972, 228, 68, 254

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

Apply this formula for all numbers.

Step1:

LCM(972, 228) = 18468

GCD(972, 228) = ( 972 x 228 ) / 18468

= 972 / 228

= 972

Step2:

LCM(12, 68) = 204

GCD(12, 68) = ( 12 x 68 ) / 204

= 12 / 68

= 12

Step3:

LCM(4, 254) = 508

GCD(4, 254) = ( 4 x 254 ) / 508

= 4 / 254

= 4

So, Greatest Common Divisor of 972, 228, 68, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 328, 82, 440
• GCD of 954, 124, 96, 204
• GCD of 249, 559, 36, 492
• GCD of 891, 668, 34, 326
• GCD of 585, 448, 23, 878

Given numbers are 972, 228, 68, 254
The greatest common divisor of numbers 972, 228, 68, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 228, 68, 254 is 2.

1. What is the GCD of 972, 228, 68, 254?

GCD of given numbers 972, 228, 68, 254 is 2

2. How to calculate the greatest common divisor of 972, 228, 68, 254?

We can find the highest common divisor of 972, 228, 68, 254 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, 228, 68, 254 i.e 2.

3. How can I use the GCD of 972, 228, 68, 254Calculator?

Out the numbers 972, 228, 68, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.