GCD of 789, 279, 381, 618 Calculator

Given Input numbers are 789, 279, 381, 618

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

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (789, 279, 381, 618) = 3.

Given numbers are 789, 279, 381, 618

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 279 are 3 x 3 x 31

Prime factors of 381 are 3 x 127

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 789, 279, 381, 618 is 3.

Given numbers are 789, 279, 381, 618

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

Apply this formula for all numbers.

Step1:

LCM(789, 279) = 73377

GCD(789, 279) = ( 789 x 279 ) / 73377

= 789 / 279

= 789

Step2:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

Step3:

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

= 3 / 618

= 3

So, Greatest Common Divisor of 789, 279, 381, 618 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 930, 145, 264
• GCD of 932, 179, 929, 937
• GCD of 894, 872, 215, 203
• GCD of 182, 437, 268, 309
• GCD of 482, 735, 900, 618

Given numbers are 789, 279, 381, 618
The greatest common divisor of numbers 789, 279, 381, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 279, 381, 618 is 3.

1. What is the GCD of 789, 279, 381, 618?

GCD of given numbers 789, 279, 381, 618 is 3

2. How to calculate the greatest common divisor of 789, 279, 381, 618?

We can find the highest common divisor of 789, 279, 381, 618 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 789, 279, 381, 618 i.e 3.

3. How can I use the GCD of 789, 279, 381, 618Calculator?

Out the numbers 789, 279, 381, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.