GCD of 972, 132, 228, 354 Calculator

Given Input numbers are 972, 132, 228, 354

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (972, 132, 228, 354) = 6.

Given numbers are 972, 132, 228, 354

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 132 are 2 x 2 x 3 x 11

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 972, 132, 228, 354 is 6.

Given numbers are 972, 132, 228, 354

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

Apply this formula for all numbers.

Step1:

LCM(972, 132) = 10692

GCD(972, 132) = ( 972 x 132 ) / 10692

= 972 / 132

= 972

Step2:

LCM(12, 228) = 228

GCD(12, 228) = ( 12 x 228 ) / 228

= 12 / 228

= 12

Step3:

LCM(12, 354) = 708

GCD(12, 354) = ( 12 x 354 ) / 708

= 12 / 354

= 12

So, Greatest Common Divisor of 972, 132, 228, 354 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 733, 264, 947
• GCD of 580, 868, 176, 769
• GCD of 459, 839, 745, 756
• GCD of 147, 883, 598, 904
• GCD of 150, 601, 254, 958

Given numbers are 972, 132, 228, 354
The greatest common divisor of numbers 972, 132, 228, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 132, 228, 354 is 6.

1. What is the GCD of 972, 132, 228, 354?

GCD of given numbers 972, 132, 228, 354 is 6

2. How to calculate the greatest common divisor of 972, 132, 228, 354?

We can find the highest common divisor of 972, 132, 228, 354 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, 132, 228, 354 i.e 6.

3. How can I use the GCD of 972, 132, 228, 354Calculator?

Out the numbers 972, 132, 228, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.