GCD of 205, 360, 180, 871 Calculator

Given Input numbers are 205, 360, 180, 871

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

GCD of numbers is the greatest common divisor

So, the GCD (205, 360, 180, 871) = 1.

Given numbers are 205, 360, 180, 871

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 871 are 13 x 67

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

Given numbers are 205, 360, 180, 871

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

Apply this formula for all numbers.

Step1:

LCM(205, 360) = 14760

GCD(205, 360) = ( 205 x 360 ) / 14760

= 205 / 360

= 205

Step2:

LCM(5, 180) = 180

GCD(5, 180) = ( 5 x 180 ) / 180

= 5 / 180

= 5

Step3:

LCM(5, 871) = 4355

GCD(5, 871) = ( 5 x 871 ) / 4355

= 5 / 871

= 5

So, Greatest Common Divisor of 205, 360, 180, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 159, 264, 131
• GCD of 118, 957, 877, 338
• GCD of 481, 681, 124, 264
• GCD of 256, 742, 784, 380
• GCD of 588, 852, 123, 551

Given numbers are 205, 360, 180, 871
The greatest common divisor of numbers 205, 360, 180, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 360, 180, 871 is 1.

1. What is the GCD of 205, 360, 180, 871?

GCD of given numbers 205, 360, 180, 871 is 1

2. How to calculate the greatest common divisor of 205, 360, 180, 871?

We can find the highest common divisor of 205, 360, 180, 871 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 205, 360, 180, 871 i.e 1.

3. How can I use the GCD of 205, 360, 180, 871Calculator?

Out the numbers 205, 360, 180, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.