GCD of 470, 235, 440, 500 Calculator

Given Input numbers are 470, 235, 440, 500

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

GCD of numbers is the greatest common divisor

So, the GCD (470, 235, 440, 500) = 5.

Given numbers are 470, 235, 440, 500

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 235 are 5 x 47

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

The highest common occurrence is 5¹

Therefore, GCD of 470, 235, 440, 500 is 5.

Given numbers are 470, 235, 440, 500

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

Apply this formula for all numbers.

Step1:

LCM(470, 235) = 470

GCD(470, 235) = ( 470 x 235 ) / 470

= 470 / 235

= 470

Step2:

LCM(235, 440) = 20680

GCD(235, 440) = ( 235 x 440 ) / 20680

= 235 / 440

= 235

Step3:

LCM(5, 500) = 500

GCD(5, 500) = ( 5 x 500 ) / 500

= 5 / 500

= 5

So, Greatest Common Divisor of 470, 235, 440, 500 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 527, 193, 165
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• GCD of 741, 835, 547, 529
• GCD of 389, 821, 570, 106
• GCD of 683, 199, 494, 390

Given numbers are 470, 235, 440, 500
The greatest common divisor of numbers 470, 235, 440, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 235, 440, 500 is 5.

1. What is the GCD of 470, 235, 440, 500?

GCD of given numbers 470, 235, 440, 500 is 5

2. How to calculate the greatest common divisor of 470, 235, 440, 500?

We can find the highest common divisor of 470, 235, 440, 500 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 470, 235, 440, 500 i.e 5.

3. How can I use the GCD of 470, 235, 440, 500Calculator?

Out the numbers 470, 235, 440, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.