GCD of 728, 803, 400, 102 Calculator

Given Input numbers are 728, 803, 400, 102

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 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (728, 803, 400, 102) = 1.

Given numbers are 728, 803, 400, 102

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 803 are 11 x 73

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 102 are 2 x 3 x 17

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

Given numbers are 728, 803, 400, 102

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

Apply this formula for all numbers.

Step1:

LCM(728, 803) = 584584

GCD(728, 803) = ( 728 x 803 ) / 584584

= 728 / 803

= 728

Step2:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

Step3:

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

= 1 / 102

= 1

So, Greatest Common Divisor of 728, 803, 400, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 952, 290, 742
• GCD of 343, 738, 209, 574
• GCD of 569, 856, 956, 852
• GCD of 114, 977, 603, 674
• GCD of 401, 726, 594, 252

Given numbers are 728, 803, 400, 102
The greatest common divisor of numbers 728, 803, 400, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 803, 400, 102 is 1.

1. What is the GCD of 728, 803, 400, 102?

GCD of given numbers 728, 803, 400, 102 is 1

2. How to calculate the greatest common divisor of 728, 803, 400, 102?

We can find the highest common divisor of 728, 803, 400, 102 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, 803, 400, 102 i.e 1.

3. How can I use the GCD of 728, 803, 400, 102Calculator?

Out the numbers 728, 803, 400, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.