GCD of 378, 231, 666, 523 Calculator

Given Input numbers are 378, 231, 666, 523

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 231 :

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

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

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (378, 231, 666, 523) = 1.

Given numbers are 378, 231, 666, 523

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 231 are 3 x 7 x 11

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 523 are 523

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 378, 231, 666, 523

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

Apply this formula for all numbers.

Step1:

LCM(378, 231) = 4158

GCD(378, 231) = ( 378 x 231 ) / 4158

= 378 / 231

= 378

Step2:

LCM(21, 666) = 4662

GCD(21, 666) = ( 21 x 666 ) / 4662

= 21 / 666

= 21

Step3:

LCM(3, 523) = 1569

GCD(3, 523) = ( 3 x 523 ) / 1569

= 3 / 523

= 3

So, Greatest Common Divisor of 378, 231, 666, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 899, 884, 490
• GCD of 298, 620, 365, 878
• GCD of 604, 528, 644, 743
• GCD of 715, 179, 236, 623
• GCD of 260, 373, 569, 426

Given numbers are 378, 231, 666, 523
The greatest common divisor of numbers 378, 231, 666, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 231, 666, 523 is 1.

1. What is the GCD of 378, 231, 666, 523?

GCD of given numbers 378, 231, 666, 523 is 1

2. How to calculate the greatest common divisor of 378, 231, 666, 523?

We can find the highest common divisor of 378, 231, 666, 523 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 378, 231, 666, 523 i.e 1.

3. How can I use the GCD of 378, 231, 666, 523Calculator?

Out the numbers 378, 231, 666, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.