GCD of 362, 116, 180, 135 Calculator

Given Input numbers are 362, 116, 180, 135

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (362, 116, 180, 135) = 1.

Given numbers are 362, 116, 180, 135

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 116 are 2 x 2 x 29

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 362, 116, 180, 135

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

Apply this formula for all numbers.

Step1:

LCM(362, 116) = 20996

GCD(362, 116) = ( 362 x 116 ) / 20996

= 362 / 116

= 362

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

So, Greatest Common Divisor of 362, 116, 180, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 438, 699, 564
• GCD of 568, 502, 201, 252
• GCD of 190, 105, 873, 639
• GCD of 864, 462, 107, 915
• GCD of 394, 466, 710, 426

Given numbers are 362, 116, 180, 135
The greatest common divisor of numbers 362, 116, 180, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 116, 180, 135 is 1.

1. What is the GCD of 362, 116, 180, 135?

GCD of given numbers 362, 116, 180, 135 is 1

2. How to calculate the greatest common divisor of 362, 116, 180, 135?

We can find the highest common divisor of 362, 116, 180, 135 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 362, 116, 180, 135 i.e 1.

3. How can I use the GCD of 362, 116, 180, 135Calculator?

Out the numbers 362, 116, 180, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.