GCD of 802, 450, 728 Calculator

Given Input numbers are 802, 450, 728

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 (802, 450, 728) = 2.

Given numbers are 802, 450, 728

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 802, 450, 728 is 2.

Given numbers are 802, 450, 728

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

Apply this formula for all numbers.

Step1:

LCM(802, 450) = 180450

GCD(802, 450) = ( 802 x 450 ) / 180450

= 802 / 450

= 802

Step2:

LCM(2, 728) = 728

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

= 2 / 728

= 2

So, Greatest Common Divisor of 802, 450, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 630, 784
• GCD of 981, 437, 495
• GCD of 416, 473, 836
• GCD of 391, 619, 397
• GCD of 538, 837, 450

Given numbers are 802, 450, 728
The greatest common divisor of numbers 802, 450, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 450, 728 is 2.

1. What is the GCD of 802, 450, 728?

GCD of given numbers 802, 450, 728 is 2

2. How to calculate the greatest common divisor of 802, 450, 728?

We can find the highest common divisor of 802, 450, 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 802, 450, 728 i.e 2.

3. How can I use the GCD of 802, 450, 728Calculator?

Out the numbers 802, 450, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.