GCD of 147, 645, 327, 231 Calculator

Given Input numbers are 147, 645, 327, 231

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 327 :

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

1, 3, 109, 327

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (147, 645, 327, 231) = 3.

Given numbers are 147, 645, 327, 231

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 645 are 3 x 5 x 43

Prime factors of 327 are 3 x 109

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 147, 645, 327, 231 is 3.

Given numbers are 147, 645, 327, 231

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

Apply this formula for all numbers.

Step1:

LCM(147, 645) = 31605

GCD(147, 645) = ( 147 x 645 ) / 31605

= 147 / 645

= 147

Step2:

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

= 3 / 327

= 3

Step3:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

So, Greatest Common Divisor of 147, 645, 327, 231 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 590, 881, 985
• GCD of 838, 660, 144, 739
• GCD of 935, 235, 941, 504
• GCD of 110, 376, 985, 287
• GCD of 822, 507, 460, 449

Given numbers are 147, 645, 327, 231
The greatest common divisor of numbers 147, 645, 327, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 645, 327, 231 is 3.

1. What is the GCD of 147, 645, 327, 231?

GCD of given numbers 147, 645, 327, 231 is 3

2. How to calculate the greatest common divisor of 147, 645, 327, 231?

We can find the highest common divisor of 147, 645, 327, 231 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 147, 645, 327, 231 i.e 3.

3. How can I use the GCD of 147, 645, 327, 231Calculator?

Out the numbers 147, 645, 327, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.