GCD of 327, 156, 972, 354 Calculator

Given Input numbers are 327, 156, 972, 354

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 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 (327, 156, 972, 354) = 3.

Given numbers are 327, 156, 972, 354

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 156 are 2 x 2 x 3 x 13

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 327, 156, 972, 354 is 3.

Given numbers are 327, 156, 972, 354

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

Apply this formula for all numbers.

Step1:

LCM(327, 156) = 17004

GCD(327, 156) = ( 327 x 156 ) / 17004

= 327 / 156

= 327

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 327, 156, 972, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 491, 480, 506
• GCD of 205, 257, 682, 857
• GCD of 454, 853, 571, 732
• GCD of 704, 746, 748, 242
• GCD of 910, 325, 994, 489

Given numbers are 327, 156, 972, 354
The greatest common divisor of numbers 327, 156, 972, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 156, 972, 354 is 3.

1. What is the GCD of 327, 156, 972, 354?

GCD of given numbers 327, 156, 972, 354 is 3

2. How to calculate the greatest common divisor of 327, 156, 972, 354?

We can find the highest common divisor of 327, 156, 972, 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 327, 156, 972, 354 i.e 3.

3. How can I use the GCD of 327, 156, 972, 354Calculator?

Out the numbers 327, 156, 972, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.