GCD of 105, 340, 106, 963 Calculator

Given Input numbers are 105, 340, 106, 963

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 106 :

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

1, 2, 53, 106

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (105, 340, 106, 963) = 1.

Given numbers are 105, 340, 106, 963

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 106 are 2 x 53

Prime factors of 963 are 3 x 3 x 107

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

Given numbers are 105, 340, 106, 963

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

Apply this formula for all numbers.

Step1:

LCM(105, 340) = 7140

GCD(105, 340) = ( 105 x 340 ) / 7140

= 105 / 340

= 105

Step2:

LCM(5, 106) = 530

GCD(5, 106) = ( 5 x 106 ) / 530

= 5 / 106

= 5

Step3:

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

= 1 / 963

= 1

So, Greatest Common Divisor of 105, 340, 106, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 435, 182, 564
• GCD of 937, 954, 683, 313
• GCD of 974, 220, 860, 192
• GCD of 239, 641, 326, 670
• GCD of 634, 189, 617, 529

Given numbers are 105, 340, 106, 963
The greatest common divisor of numbers 105, 340, 106, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 340, 106, 963 is 1.

1. What is the GCD of 105, 340, 106, 963?

GCD of given numbers 105, 340, 106, 963 is 1

2. How to calculate the greatest common divisor of 105, 340, 106, 963?

We can find the highest common divisor of 105, 340, 106, 963 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, 340, 106, 963 i.e 1.

3. How can I use the GCD of 105, 340, 106, 963Calculator?

Out the numbers 105, 340, 106, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.