GCD of 871, 371, 872, 360 Calculator

Given Input numbers are 871, 371, 872, 360

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

Divisors of 871 :

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

1, 13, 67, 871

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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

GCD of numbers is the greatest common divisor

So, the GCD (871, 371, 872, 360) = 1.

Given numbers are 871, 371, 872, 360

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 371 are 7 x 53

Prime factors of 872 are 2 x 2 x 2 x 109

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

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

Given numbers are 871, 371, 872, 360

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

Apply this formula for all numbers.

Step1:

LCM(871, 371) = 323141

GCD(871, 371) = ( 871 x 371 ) / 323141

= 871 / 371

= 871

Step2:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 871, 371, 872, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 932, 352, 483
• GCD of 367, 288, 993, 635
• GCD of 222, 179, 966, 886
• GCD of 818, 901, 172, 528
• GCD of 523, 559, 722, 845

Given numbers are 871, 371, 872, 360
The greatest common divisor of numbers 871, 371, 872, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 371, 872, 360 is 1.

1. What is the GCD of 871, 371, 872, 360?

GCD of given numbers 871, 371, 872, 360 is 1

2. How to calculate the greatest common divisor of 871, 371, 872, 360?

We can find the highest common divisor of 871, 371, 872, 360 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 871, 371, 872, 360 i.e 1.

3. How can I use the GCD of 871, 371, 872, 360Calculator?

Out the numbers 871, 371, 872, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.