GCD of 428, 380, 232, 105 Calculator

Given Input numbers are 428, 380, 232, 105

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (428, 380, 232, 105) = 1.

Given numbers are 428, 380, 232, 105

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

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

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 428, 380, 232, 105

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

Apply this formula for all numbers.

Step1:

LCM(428, 380) = 40660

GCD(428, 380) = ( 428 x 380 ) / 40660

= 428 / 380

= 428

Step2:

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

= 4 / 232

= 4

Step3:

LCM(4, 105) = 420

GCD(4, 105) = ( 4 x 105 ) / 420

= 4 / 105

= 4

So, Greatest Common Divisor of 428, 380, 232, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 109, 844, 664
• GCD of 771, 509, 848, 806
• GCD of 154, 870, 463, 691
• GCD of 504, 247, 127, 409
• GCD of 547, 952, 434, 449

Given numbers are 428, 380, 232, 105
The greatest common divisor of numbers 428, 380, 232, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 380, 232, 105 is 1.

1. What is the GCD of 428, 380, 232, 105?

GCD of given numbers 428, 380, 232, 105 is 1

2. How to calculate the greatest common divisor of 428, 380, 232, 105?

We can find the highest common divisor of 428, 380, 232, 105 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 428, 380, 232, 105 i.e 1.

3. How can I use the GCD of 428, 380, 232, 105Calculator?

Out the numbers 428, 380, 232, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.