GCD of 117, 210, 188, 364 Calculator

Given Input numbers are 117, 210, 188, 364

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (117, 210, 188, 364) = 1.

Given numbers are 117, 210, 188, 364

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 188 are 2 x 2 x 47

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 117, 210, 188, 364

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

Apply this formula for all numbers.

Step1:

LCM(117, 210) = 8190

GCD(117, 210) = ( 117 x 210 ) / 8190

= 117 / 210

= 117

Step2:

LCM(3, 188) = 564

GCD(3, 188) = ( 3 x 188 ) / 564

= 3 / 188

= 3

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 117, 210, 188, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 428, 305, 565
• GCD of 348, 457, 386, 505
• GCD of 376, 829, 150, 349
• GCD of 194, 909, 606, 342
• GCD of 954, 910, 261, 588

Given numbers are 117, 210, 188, 364
The greatest common divisor of numbers 117, 210, 188, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 210, 188, 364 is 1.

1. What is the GCD of 117, 210, 188, 364?

GCD of given numbers 117, 210, 188, 364 is 1

2. How to calculate the greatest common divisor of 117, 210, 188, 364?

We can find the highest common divisor of 117, 210, 188, 364 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, 210, 188, 364 i.e 1.

3. How can I use the GCD of 117, 210, 188, 364Calculator?

Out the numbers 117, 210, 188, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.