GCD of 395, 428, 900, 214 Calculator

Given Input numbers are 395, 428, 900, 214

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

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (395, 428, 900, 214) = 1.

Given numbers are 395, 428, 900, 214

The list of prime factors of all numbers are

Prime factors of 395 are 5 x 79

Prime factors of 428 are 2 x 2 x 107

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 214 are 2 x 107

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

Given numbers are 395, 428, 900, 214

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

Apply this formula for all numbers.

Step1:

LCM(395, 428) = 169060

GCD(395, 428) = ( 395 x 428 ) / 169060

= 395 / 428

= 395

Step2:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 395, 428, 900, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 152, 108, 778
• GCD of 356, 394, 573, 621
• GCD of 160, 596, 784, 301
• GCD of 695, 220, 233, 497
• GCD of 483, 413, 944, 376

Given numbers are 395, 428, 900, 214
The greatest common divisor of numbers 395, 428, 900, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 395, 428, 900, 214 is 1.

1. What is the GCD of 395, 428, 900, 214?

GCD of given numbers 395, 428, 900, 214 is 1

2. How to calculate the greatest common divisor of 395, 428, 900, 214?

We can find the highest common divisor of 395, 428, 900, 214 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 395, 428, 900, 214 i.e 1.

3. How can I use the GCD of 395, 428, 900, 214Calculator?

Out the numbers 395, 428, 900, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.