GCD of 380, 789, 209 Calculator

Given Input numbers are 380, 789, 209

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (380, 789, 209) = 1.

Given numbers are 380, 789, 209

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 789 are 3 x 263

Prime factors of 209 are 11 x 19

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

Given numbers are 380, 789, 209

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

Apply this formula for all numbers.

Step1:

LCM(380, 789) = 299820

GCD(380, 789) = ( 380 x 789 ) / 299820

= 380 / 789

= 380

Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

So, Greatest Common Divisor of 380, 789, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 775, 530
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• GCD of 592, 495, 106
• GCD of 432, 210, 761
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Given numbers are 380, 789, 209
The greatest common divisor of numbers 380, 789, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 789, 209 is 1.

1. What is the GCD of 380, 789, 209?

GCD of given numbers 380, 789, 209 is 1

2. How to calculate the greatest common divisor of 380, 789, 209?

We can find the highest common divisor of 380, 789, 209 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 380, 789, 209 i.e 1.

3. How can I use the GCD of 380, 789, 209Calculator?

Out the numbers 380, 789, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.