GCD of 689, 101, 382, 999 Calculator

Given Input numbers are 689, 101, 382, 999

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

GCD of numbers is the greatest common divisor

So, the GCD (689, 101, 382, 999) = 1.

Given numbers are 689, 101, 382, 999

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 101 are 101

Prime factors of 382 are 2 x 191

Prime factors of 999 are 3 x 3 x 3 x 37

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

Given numbers are 689, 101, 382, 999

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

Apply this formula for all numbers.

Step1:

LCM(689, 101) = 69589

GCD(689, 101) = ( 689 x 101 ) / 69589

= 689 / 101

= 689

Step2:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

Step3:

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

= 1 / 999

= 1

So, Greatest Common Divisor of 689, 101, 382, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 693, 728, 685
• GCD of 670, 594, 312, 408
• GCD of 335, 313, 687, 960
• GCD of 225, 502, 348, 103
• GCD of 530, 210, 992, 201

Given numbers are 689, 101, 382, 999
The greatest common divisor of numbers 689, 101, 382, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 101, 382, 999 is 1.

1. What is the GCD of 689, 101, 382, 999?

GCD of given numbers 689, 101, 382, 999 is 1

2. How to calculate the greatest common divisor of 689, 101, 382, 999?

We can find the highest common divisor of 689, 101, 382, 999 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 689, 101, 382, 999 i.e 1.

3. How can I use the GCD of 689, 101, 382, 999Calculator?

Out the numbers 689, 101, 382, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.