GCD of 458, 500, 704, 808 Calculator

Given Input numbers are 458, 500, 704, 808

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

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

GCD of numbers is the greatest common divisor

So, the GCD (458, 500, 704, 808) = 2.

Given numbers are 458, 500, 704, 808

The list of prime factors of all numbers are

Prime factors of 458 are 2 x 229

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 808 are 2 x 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 458, 500, 704, 808 is 2.

Given numbers are 458, 500, 704, 808

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

Apply this formula for all numbers.

Step1:

LCM(458, 500) = 114500

GCD(458, 500) = ( 458 x 500 ) / 114500

= 458 / 500

= 458

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

= 2 / 808

= 2

So, Greatest Common Divisor of 458, 500, 704, 808 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 616, 661, 470
• GCD of 426, 648, 168, 194
• GCD of 139, 995, 750, 959
• GCD of 340, 876, 125, 735
• GCD of 415, 727, 178, 193

Given numbers are 458, 500, 704, 808
The greatest common divisor of numbers 458, 500, 704, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 500, 704, 808 is 2.

1. What is the GCD of 458, 500, 704, 808?

GCD of given numbers 458, 500, 704, 808 is 2

2. How to calculate the greatest common divisor of 458, 500, 704, 808?

We can find the highest common divisor of 458, 500, 704, 808 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 458, 500, 704, 808 i.e 2.

3. How can I use the GCD of 458, 500, 704, 808Calculator?

Out the numbers 458, 500, 704, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.