GCD of 109, 680, 387, 199 Calculator

Given Input numbers are 109, 680, 387, 199

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 387 :

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

1, 3, 9, 43, 129, 387

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

GCD of numbers is the greatest common divisor

So, the GCD (109, 680, 387, 199) = 1.

Given numbers are 109, 680, 387, 199

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 387 are 3 x 3 x 43

Prime factors of 199 are 199

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

Given numbers are 109, 680, 387, 199

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

Apply this formula for all numbers.

Step1:

LCM(109, 680) = 74120

GCD(109, 680) = ( 109 x 680 ) / 74120

= 109 / 680

= 109

Step2:

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

= 1 / 387

= 1

Step3:

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

= 1 / 199

= 1

So, Greatest Common Divisor of 109, 680, 387, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 715, 926, 662
• GCD of 904, 112, 434, 806
• GCD of 944, 526, 465, 404
• GCD of 878, 957, 451, 239
• GCD of 688, 282, 175, 591

Given numbers are 109, 680, 387, 199
The greatest common divisor of numbers 109, 680, 387, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 680, 387, 199 is 1.

1. What is the GCD of 109, 680, 387, 199?

GCD of given numbers 109, 680, 387, 199 is 1

2. How to calculate the greatest common divisor of 109, 680, 387, 199?

We can find the highest common divisor of 109, 680, 387, 199 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 109, 680, 387, 199 i.e 1.

3. How can I use the GCD of 109, 680, 387, 199Calculator?

Out the numbers 109, 680, 387, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.