GCD of 180, 876, 984, 303 Calculator

Given Input numbers are 180, 876, 984, 303

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

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (180, 876, 984, 303) = 3.

Given numbers are 180, 876, 984, 303

The list of prime factors of all numbers are

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

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 303 are 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 180, 876, 984, 303 is 3.

Given numbers are 180, 876, 984, 303

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

Apply this formula for all numbers.

Step1:

LCM(180, 876) = 13140

GCD(180, 876) = ( 180 x 876 ) / 13140

= 180 / 876

= 180

Step2:

LCM(12, 984) = 984

GCD(12, 984) = ( 12 x 984 ) / 984

= 12 / 984

= 12

Step3:

LCM(12, 303) = 1212

GCD(12, 303) = ( 12 x 303 ) / 1212

= 12 / 303

= 12

So, Greatest Common Divisor of 180, 876, 984, 303 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 924, 574, 675
• GCD of 715, 697, 545, 865
• GCD of 208, 383, 428, 150
• GCD of 937, 735, 631, 304
• GCD of 786, 209, 385, 525

Given numbers are 180, 876, 984, 303
The greatest common divisor of numbers 180, 876, 984, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 876, 984, 303 is 3.

1. What is the GCD of 180, 876, 984, 303?

GCD of given numbers 180, 876, 984, 303 is 3

2. How to calculate the greatest common divisor of 180, 876, 984, 303?

We can find the highest common divisor of 180, 876, 984, 303 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 180, 876, 984, 303 i.e 3.

3. How can I use the GCD of 180, 876, 984, 303Calculator?

Out the numbers 180, 876, 984, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.