GCD of 118, 216, 87, 361 Calculator

Given Input numbers are 118, 216, 87, 361

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (118, 216, 87, 361) = 1.

Given numbers are 118, 216, 87, 361

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 87 are 3 x 29

Prime factors of 361 are 19 x 19

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

Given numbers are 118, 216, 87, 361

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

Apply this formula for all numbers.

Step1:

LCM(118, 216) = 12744

GCD(118, 216) = ( 118 x 216 ) / 12744

= 118 / 216

= 118

Step2:

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

= 2 / 87

= 2

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 118, 216, 87, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 245, 95, 262
• GCD of 785, 407, 10, 885
• GCD of 851, 128, 95, 847
• GCD of 108, 328, 79, 781
• GCD of 630, 800, 16, 223

Given numbers are 118, 216, 87, 361
The greatest common divisor of numbers 118, 216, 87, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 216, 87, 361 is 1.

1. What is the GCD of 118, 216, 87, 361?

GCD of given numbers 118, 216, 87, 361 is 1

2. How to calculate the greatest common divisor of 118, 216, 87, 361?

We can find the highest common divisor of 118, 216, 87, 361 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 118, 216, 87, 361 i.e 1.

3. How can I use the GCD of 118, 216, 87, 361Calculator?

Out the numbers 118, 216, 87, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.