GCD of 819, 329, 651, 189 Calculator

Given Input numbers are 819, 329, 651, 189

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

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (819, 329, 651, 189) = 7.

Given numbers are 819, 329, 651, 189

The list of prime factors of all numbers are

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 329 are 7 x 47

Prime factors of 651 are 3 x 7 x 31

Prime factors of 189 are 3 x 3 x 3 x 7

The highest common occurrence is 7¹

Therefore, GCD of 819, 329, 651, 189 is 7.

Given numbers are 819, 329, 651, 189

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

Apply this formula for all numbers.

Step1:

LCM(819, 329) = 38493

GCD(819, 329) = ( 819 x 329 ) / 38493

= 819 / 329

= 819

Step2:

LCM(7, 651) = 651

GCD(7, 651) = ( 7 x 651 ) / 651

= 7 / 651

= 7

Step3:

LCM(7, 189) = 189

GCD(7, 189) = ( 7 x 189 ) / 189

= 7 / 189

= 7

So, Greatest Common Divisor of 819, 329, 651, 189 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 190, 115, 992
• GCD of 621, 121, 573, 491
• GCD of 112, 949, 691, 580
• GCD of 573, 392, 271, 122
• GCD of 546, 473, 687, 527

Given numbers are 819, 329, 651, 189
The greatest common divisor of numbers 819, 329, 651, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 329, 651, 189 is 7.

1. What is the GCD of 819, 329, 651, 189?

GCD of given numbers 819, 329, 651, 189 is 7

2. How to calculate the greatest common divisor of 819, 329, 651, 189?

We can find the highest common divisor of 819, 329, 651, 189 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 819, 329, 651, 189 i.e 7.

3. How can I use the GCD of 819, 329, 651, 189Calculator?

Out the numbers 819, 329, 651, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.