GCD of 185, 113, 131, 189 Calculator

Given Input numbers are 185, 113, 131, 189

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

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (185, 113, 131, 189) = 1.

Given numbers are 185, 113, 131, 189

The list of prime factors of all numbers are

Prime factors of 185 are 5 x 37

Prime factors of 113 are 113

Prime factors of 131 are 131

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 185, 113, 131, 189

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

Apply this formula for all numbers.

Step1:

LCM(185, 113) = 20905

GCD(185, 113) = ( 185 x 113 ) / 20905

= 185 / 113

= 185

Step2:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 185, 113, 131, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 756, 940, 656
• GCD of 253, 134, 968, 234
• GCD of 458, 319, 600, 409
• GCD of 571, 595, 970, 290
• GCD of 763, 294, 142, 881

Given numbers are 185, 113, 131, 189
The greatest common divisor of numbers 185, 113, 131, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 185, 113, 131, 189 is 1.

1. What is the GCD of 185, 113, 131, 189?

GCD of given numbers 185, 113, 131, 189 is 1

2. How to calculate the greatest common divisor of 185, 113, 131, 189?

We can find the highest common divisor of 185, 113, 131, 189 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 185, 113, 131, 189 i.e 1.

3. How can I use the GCD of 185, 113, 131, 189Calculator?

Out the numbers 185, 113, 131, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.