GCD of 116, 690, 165, 315 Calculator

Given Input numbers are 116, 690, 165, 315

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (116, 690, 165, 315) = 1.

Given numbers are 116, 690, 165, 315

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

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

Prime factors of 165 are 3 x 5 x 11

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 116, 690, 165, 315

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

Apply this formula for all numbers.

Step1:

LCM(116, 690) = 40020

GCD(116, 690) = ( 116 x 690 ) / 40020

= 116 / 690

= 116

Step2:

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

= 2 / 165

= 2

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 116, 690, 165, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 611, 571, 146
• GCD of 406, 242, 236, 480
• GCD of 524, 118, 779, 259
• GCD of 238, 431, 626, 670
• GCD of 169, 911, 658, 796

Given numbers are 116, 690, 165, 315
The greatest common divisor of numbers 116, 690, 165, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 690, 165, 315 is 1.

1. What is the GCD of 116, 690, 165, 315?

GCD of given numbers 116, 690, 165, 315 is 1

2. How to calculate the greatest common divisor of 116, 690, 165, 315?

We can find the highest common divisor of 116, 690, 165, 315 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 116, 690, 165, 315 i.e 1.

3. How can I use the GCD of 116, 690, 165, 315Calculator?

Out the numbers 116, 690, 165, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.