GCD of 228, 780, 31, 375 Calculator

Given Input numbers are 228, 780, 31, 375

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (228, 780, 31, 375) = 1.

Given numbers are 228, 780, 31, 375

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 31 are 31

Prime factors of 375 are 3 x 5 x 5 x 5

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

Given numbers are 228, 780, 31, 375

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

Apply this formula for all numbers.

Step1:

LCM(228, 780) = 14820

GCD(228, 780) = ( 228 x 780 ) / 14820

= 228 / 780

= 228

Step2:

LCM(12, 31) = 372

GCD(12, 31) = ( 12 x 31 ) / 372

= 12 / 31

= 12

Step3:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1

So, Greatest Common Divisor of 228, 780, 31, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 874, 51, 215
• GCD of 417, 586, 12, 977
• GCD of 370, 157, 97, 392
• GCD of 908, 170, 14, 229
• GCD of 308, 988, 59, 728

Given numbers are 228, 780, 31, 375
The greatest common divisor of numbers 228, 780, 31, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 780, 31, 375 is 1.

1. What is the GCD of 228, 780, 31, 375?

GCD of given numbers 228, 780, 31, 375 is 1

2. How to calculate the greatest common divisor of 228, 780, 31, 375?

We can find the highest common divisor of 228, 780, 31, 375 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 228, 780, 31, 375 i.e 1.

3. How can I use the GCD of 228, 780, 31, 375Calculator?

Out the numbers 228, 780, 31, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.