GCD of 443, 354, 508, 728 Calculator

Given Input numbers are 443, 354, 508, 728

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

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

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 (443, 354, 508, 728) = 1.

Given numbers are 443, 354, 508, 728

The list of prime factors of all numbers are

Prime factors of 443 are 443

Prime factors of 354 are 2 x 3 x 59

Prime factors of 508 are 2 x 2 x 127

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

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

Given numbers are 443, 354, 508, 728

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

Apply this formula for all numbers.

Step1:

LCM(443, 354) = 156822

GCD(443, 354) = ( 443 x 354 ) / 156822

= 443 / 354

= 443

Step2:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 443, 354, 508, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 308, 486, 473
• GCD of 226, 939, 896, 753
• GCD of 192, 454, 802, 925
• GCD of 376, 348, 512, 641
• GCD of 600, 181, 924, 460

Given numbers are 443, 354, 508, 728
The greatest common divisor of numbers 443, 354, 508, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 443, 354, 508, 728 is 1.

1. What is the GCD of 443, 354, 508, 728?

GCD of given numbers 443, 354, 508, 728 is 1

2. How to calculate the greatest common divisor of 443, 354, 508, 728?

We can find the highest common divisor of 443, 354, 508, 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 443, 354, 508, 728 i.e 1.

3. How can I use the GCD of 443, 354, 508, 728Calculator?

Out the numbers 443, 354, 508, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.