GCD of 657, 231, 789, 849 Calculator

Given Input numbers are 657, 231, 789, 849

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

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 231 :

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

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (657, 231, 789, 849) = 3.

Given numbers are 657, 231, 789, 849

The list of prime factors of all numbers are

Prime factors of 657 are 3 x 3 x 73

Prime factors of 231 are 3 x 7 x 11

Prime factors of 789 are 3 x 263

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 657, 231, 789, 849 is 3.

Given numbers are 657, 231, 789, 849

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

Apply this formula for all numbers.

Step1:

LCM(657, 231) = 50589

GCD(657, 231) = ( 657 x 231 ) / 50589

= 657 / 231

= 657

Step2:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

Step3:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

So, Greatest Common Divisor of 657, 231, 789, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 708, 623, 756
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• GCD of 653, 588, 857, 464
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• GCD of 905, 713, 140, 654

Given numbers are 657, 231, 789, 849
The greatest common divisor of numbers 657, 231, 789, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 231, 789, 849 is 3.

1. What is the GCD of 657, 231, 789, 849?

GCD of given numbers 657, 231, 789, 849 is 3

2. How to calculate the greatest common divisor of 657, 231, 789, 849?

We can find the highest common divisor of 657, 231, 789, 849 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 657, 231, 789, 849 i.e 3.

3. How can I use the GCD of 657, 231, 789, 849Calculator?

Out the numbers 657, 231, 789, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.