GCD of 387, 402, 231, 786 Calculator

Given Input numbers are 387, 402, 231, 786

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 231 :

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

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

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (387, 402, 231, 786) = 3.

Given numbers are 387, 402, 231, 786

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 402 are 2 x 3 x 67

Prime factors of 231 are 3 x 7 x 11

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 387, 402, 231, 786 is 3.

Given numbers are 387, 402, 231, 786

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

Apply this formula for all numbers.

Step1:

LCM(387, 402) = 51858

GCD(387, 402) = ( 387 x 402 ) / 51858

= 387 / 402

= 387

Step2:

LCM(3, 231) = 231

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

= 3 / 231

= 3

Step3:

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

= 3 / 786

= 3

So, Greatest Common Divisor of 387, 402, 231, 786 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 104, 596, 205
• GCD of 648, 317, 811, 760
• GCD of 960, 182, 826, 256
• GCD of 769, 169, 316, 780
• GCD of 600, 910, 943, 201

Given numbers are 387, 402, 231, 786
The greatest common divisor of numbers 387, 402, 231, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 402, 231, 786 is 3.

1. What is the GCD of 387, 402, 231, 786?

GCD of given numbers 387, 402, 231, 786 is 3

2. How to calculate the greatest common divisor of 387, 402, 231, 786?

We can find the highest common divisor of 387, 402, 231, 786 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 387, 402, 231, 786 i.e 3.

3. How can I use the GCD of 387, 402, 231, 786Calculator?

Out the numbers 387, 402, 231, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.