GCD of 728, 438, 217, 100 Calculator

Given Input numbers are 728, 438, 217, 100

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

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (728, 438, 217, 100) = 1.

Given numbers are 728, 438, 217, 100

The list of prime factors of all numbers are

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

Prime factors of 438 are 2 x 3 x 73

Prime factors of 217 are 7 x 31

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 728, 438, 217, 100

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

Apply this formula for all numbers.

Step1:

LCM(728, 438) = 159432

GCD(728, 438) = ( 728 x 438 ) / 159432

= 728 / 438

= 728

Step2:

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

= 2 / 217

= 2

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 728, 438, 217, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 982, 742, 256
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Given numbers are 728, 438, 217, 100
The greatest common divisor of numbers 728, 438, 217, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 438, 217, 100 is 1.

1. What is the GCD of 728, 438, 217, 100?

GCD of given numbers 728, 438, 217, 100 is 1

2. How to calculate the greatest common divisor of 728, 438, 217, 100?

We can find the highest common divisor of 728, 438, 217, 100 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 728, 438, 217, 100 i.e 1.

3. How can I use the GCD of 728, 438, 217, 100Calculator?

Out the numbers 728, 438, 217, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.