GCD of 484, 404, 616, 800 Calculator

Given Input numbers are 484, 404, 616, 800

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (484, 404, 616, 800) = 4.

Given numbers are 484, 404, 616, 800

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 404 are 2 x 2 x 101

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 484, 404, 616, 800 is 4.

Given numbers are 484, 404, 616, 800

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

Apply this formula for all numbers.

Step1:

LCM(484, 404) = 48884

GCD(484, 404) = ( 484 x 404 ) / 48884

= 484 / 404

= 484

Step2:

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

= 4 / 616

= 4

Step3:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

So, Greatest Common Divisor of 484, 404, 616, 800 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 801, 839, 844
• GCD of 737, 731, 683, 435
• GCD of 964, 126, 904, 462
• GCD of 185, 358, 589, 605
• GCD of 868, 264, 379, 967

Given numbers are 484, 404, 616, 800
The greatest common divisor of numbers 484, 404, 616, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 404, 616, 800 is 4.

1. What is the GCD of 484, 404, 616, 800?

GCD of given numbers 484, 404, 616, 800 is 4

2. How to calculate the greatest common divisor of 484, 404, 616, 800?

We can find the highest common divisor of 484, 404, 616, 800 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 484, 404, 616, 800 i.e 4.

3. How can I use the GCD of 484, 404, 616, 800Calculator?

Out the numbers 484, 404, 616, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.