GCD of 105, 276, 106, 689 Calculator

Given Input numbers are 105, 276, 106, 689

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (105, 276, 106, 689) = 1.

Given numbers are 105, 276, 106, 689

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 106 are 2 x 53

Prime factors of 689 are 13 x 53

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

Given numbers are 105, 276, 106, 689

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

Apply this formula for all numbers.

Step1:

LCM(105, 276) = 9660

GCD(105, 276) = ( 105 x 276 ) / 9660

= 105 / 276

= 105

Step2:

LCM(3, 106) = 318

GCD(3, 106) = ( 3 x 106 ) / 318

= 3 / 106

= 3

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 105, 276, 106, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 305, 634, 860
• GCD of 838, 561, 259, 223
• GCD of 331, 990, 781, 459
• GCD of 559, 145, 621, 422
• GCD of 249, 681, 560, 831

Given numbers are 105, 276, 106, 689
The greatest common divisor of numbers 105, 276, 106, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 276, 106, 689 is 1.

1. What is the GCD of 105, 276, 106, 689?

GCD of given numbers 105, 276, 106, 689 is 1

2. How to calculate the greatest common divisor of 105, 276, 106, 689?

We can find the highest common divisor of 105, 276, 106, 689 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 105, 276, 106, 689 i.e 1.

3. How can I use the GCD of 105, 276, 106, 689Calculator?

Out the numbers 105, 276, 106, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.