GCD of 105, 316, 690, 163 Calculator

Given Input numbers are 105, 316, 690, 163

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 163 :

The positive integer divisors of 163 that completely divides 163 are.

1, 163

GCD of numbers is the greatest common divisor

So, the GCD (105, 316, 690, 163) = 1.

Given numbers are 105, 316, 690, 163

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 316 are 2 x 2 x 79

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 163 are 163

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

Given numbers are 105, 316, 690, 163

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

Apply this formula for all numbers.

Step1:

LCM(105, 316) = 33180

GCD(105, 316) = ( 105 x 316 ) / 33180

= 105 / 316

= 105

Step2:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

Step3:

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

= 1 / 163

= 1

So, Greatest Common Divisor of 105, 316, 690, 163 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 222, 416, 462
• GCD of 317, 937, 280, 971
• GCD of 530, 309, 241, 925
• GCD of 693, 168, 536, 752
• GCD of 913, 755, 961, 264

Given numbers are 105, 316, 690, 163
The greatest common divisor of numbers 105, 316, 690, 163 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 316, 690, 163 is 1.

1. What is the GCD of 105, 316, 690, 163?

GCD of given numbers 105, 316, 690, 163 is 1

2. How to calculate the greatest common divisor of 105, 316, 690, 163?

We can find the highest common divisor of 105, 316, 690, 163 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, 316, 690, 163 i.e 1.

3. How can I use the GCD of 105, 316, 690, 163Calculator?

Out the numbers 105, 316, 690, 163 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.