GCD of 428, 429, 75, 905 Calculator

Given Input numbers are 428, 429, 75, 905

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

GCD of numbers is the greatest common divisor

So, the GCD (428, 429, 75, 905) = 1.

Given numbers are 428, 429, 75, 905

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 429 are 3 x 11 x 13

Prime factors of 75 are 3 x 5 x 5

Prime factors of 905 are 5 x 181

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

Given numbers are 428, 429, 75, 905

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

Apply this formula for all numbers.

Step1:

LCM(428, 429) = 183612

GCD(428, 429) = ( 428 x 429 ) / 183612

= 428 / 429

= 428

Step2:

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

= 1 / 75

= 1

Step3:

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

= 1 / 905

= 1

So, Greatest Common Divisor of 428, 429, 75, 905 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 770, 82, 555
• GCD of 211, 862, 89, 550
• GCD of 473, 858, 23, 419
• GCD of 303, 989, 84, 282
• GCD of 666, 496, 82, 356

Given numbers are 428, 429, 75, 905
The greatest common divisor of numbers 428, 429, 75, 905 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 429, 75, 905 is 1.

1. What is the GCD of 428, 429, 75, 905?

GCD of given numbers 428, 429, 75, 905 is 1

2. How to calculate the greatest common divisor of 428, 429, 75, 905?

We can find the highest common divisor of 428, 429, 75, 905 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, 429, 75, 905 i.e 1.

3. How can I use the GCD of 428, 429, 75, 905Calculator?

Out the numbers 428, 429, 75, 905 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.