GCD of 117, 196, 309 Calculator

Given Input numbers are 117, 196, 309

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (117, 196, 309) = 1.

Given numbers are 117, 196, 309

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 309 are 3 x 103

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

Given numbers are 117, 196, 309

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

Apply this formula for all numbers.

Step1:

LCM(117, 196) = 22932

GCD(117, 196) = ( 117 x 196 ) / 22932

= 117 / 196

= 117

Step2:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 117, 196, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 583, 393
• GCD of 724, 108, 142
• GCD of 665, 901, 397
• GCD of 516, 503, 263
• GCD of 129, 429, 214

Given numbers are 117, 196, 309
The greatest common divisor of numbers 117, 196, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 196, 309 is 1.

1. What is the GCD of 117, 196, 309?

GCD of given numbers 117, 196, 309 is 1

2. How to calculate the greatest common divisor of 117, 196, 309?

We can find the highest common divisor of 117, 196, 309 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 117, 196, 309 i.e 1.

3. How can I use the GCD of 117, 196, 309Calculator?

Out the numbers 117, 196, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.