GCD of 108, 131, 217, 161 Calculator

Given Input numbers are 108, 131, 217, 161

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 131 :

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

1, 131

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

GCD of numbers is the greatest common divisor

So, the GCD (108, 131, 217, 161) = 1.

Given numbers are 108, 131, 217, 161

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 131 are 131

Prime factors of 217 are 7 x 31

Prime factors of 161 are 7 x 23

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

Given numbers are 108, 131, 217, 161

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

Apply this formula for all numbers.

Step1:

LCM(108, 131) = 14148

GCD(108, 131) = ( 108 x 131 ) / 14148

= 108 / 131

= 108

Step2:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1

Step3:

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

= 1 / 161

= 1

So, Greatest Common Divisor of 108, 131, 217, 161 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 758, 500, 412
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Given numbers are 108, 131, 217, 161
The greatest common divisor of numbers 108, 131, 217, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 131, 217, 161 is 1.

1. What is the GCD of 108, 131, 217, 161?

GCD of given numbers 108, 131, 217, 161 is 1

2. How to calculate the greatest common divisor of 108, 131, 217, 161?

We can find the highest common divisor of 108, 131, 217, 161 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 108, 131, 217, 161 i.e 1.

3. How can I use the GCD of 108, 131, 217, 161Calculator?

Out the numbers 108, 131, 217, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.