GCD of 472, 302, 728, 428 Calculator

Given Input numbers are 472, 302, 728, 428

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (472, 302, 728, 428) = 2.

Given numbers are 472, 302, 728, 428

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 302 are 2 x 151

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

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 472, 302, 728, 428 is 2.

Given numbers are 472, 302, 728, 428

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

Apply this formula for all numbers.

Step1:

LCM(472, 302) = 71272

GCD(472, 302) = ( 472 x 302 ) / 71272

= 472 / 302

= 472

Step2:

LCM(2, 728) = 728

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

= 2 / 728

= 2

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 472, 302, 728, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 236, 227, 770
• GCD of 680, 393, 350, 243
• GCD of 227, 303, 960, 833
• GCD of 389, 247, 105, 677
• GCD of 745, 368, 328, 118

Given numbers are 472, 302, 728, 428
The greatest common divisor of numbers 472, 302, 728, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 302, 728, 428 is 2.

1. What is the GCD of 472, 302, 728, 428?

GCD of given numbers 472, 302, 728, 428 is 2

2. How to calculate the greatest common divisor of 472, 302, 728, 428?

We can find the highest common divisor of 472, 302, 728, 428 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 472, 302, 728, 428 i.e 2.

3. How can I use the GCD of 472, 302, 728, 428Calculator?

Out the numbers 472, 302, 728, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.