GCD of 387, 609, 114 Calculator

Given Input numbers are 387, 609, 114

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (387, 609, 114) = 3.

Given numbers are 387, 609, 114

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 609 are 3 x 7 x 29

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 387, 609, 114 is 3.

Given numbers are 387, 609, 114

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

Apply this formula for all numbers.

Step1:

LCM(387, 609) = 78561

GCD(387, 609) = ( 387 x 609 ) / 78561

= 387 / 609

= 387

Step2:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

So, Greatest Common Divisor of 387, 609, 114 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 645, 808
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• GCD of 511, 565, 572
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Given numbers are 387, 609, 114
The greatest common divisor of numbers 387, 609, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 609, 114 is 3.

1. What is the GCD of 387, 609, 114?

GCD of given numbers 387, 609, 114 is 3

2. How to calculate the greatest common divisor of 387, 609, 114?

We can find the highest common divisor of 387, 609, 114 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, 609, 114 i.e 3.

3. How can I use the GCD of 387, 609, 114Calculator?

Out the numbers 387, 609, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.