GCD of 380, 234, 876, 728 Calculator

Given Input numbers are 380, 234, 876, 728

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (380, 234, 876, 728) = 2.

Given numbers are 380, 234, 876, 728

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 234 are 2 x 3 x 3 x 13

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 380, 234, 876, 728 is 2.

Given numbers are 380, 234, 876, 728

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

Apply this formula for all numbers.

Step1:

LCM(380, 234) = 44460

GCD(380, 234) = ( 380 x 234 ) / 44460

= 380 / 234

= 380

Step2:

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

= 2 / 876

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 380, 234, 876, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 262, 926, 681
• GCD of 582, 617, 237, 451
• GCD of 129, 811, 667, 578
• GCD of 927, 595, 676, 526
• GCD of 822, 851, 103, 916

Given numbers are 380, 234, 876, 728
The greatest common divisor of numbers 380, 234, 876, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 234, 876, 728 is 2.

1. What is the GCD of 380, 234, 876, 728?

GCD of given numbers 380, 234, 876, 728 is 2

2. How to calculate the greatest common divisor of 380, 234, 876, 728?

We can find the highest common divisor of 380, 234, 876, 728 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 380, 234, 876, 728 i.e 2.

3. How can I use the GCD of 380, 234, 876, 728Calculator?

Out the numbers 380, 234, 876, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.