GCD of 460, 470, 310 Calculator

Given Input numbers are 460, 470, 310

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 470 :

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

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (460, 470, 310) = 10.

Given numbers are 460, 470, 310

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 470 are 2 x 5 x 47

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 460, 470, 310 is 10.

Given numbers are 460, 470, 310

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

Apply this formula for all numbers.

Step1:

LCM(460, 470) = 21620

GCD(460, 470) = ( 460 x 470 ) / 21620

= 460 / 470

= 460

Step2:

LCM(10, 310) = 310

GCD(10, 310) = ( 10 x 310 ) / 310

= 10 / 310

= 10

So, Greatest Common Divisor of 460, 470, 310 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 440, 743
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• GCD of 182, 298, 978
• GCD of 733, 257, 465
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Given numbers are 460, 470, 310
The greatest common divisor of numbers 460, 470, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 470, 310 is 10.

1. What is the GCD of 460, 470, 310?

GCD of given numbers 460, 470, 310 is 10

2. How to calculate the greatest common divisor of 460, 470, 310?

We can find the highest common divisor of 460, 470, 310 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 460, 470, 310 i.e 10.

3. How can I use the GCD of 460, 470, 310Calculator?

Out the numbers 460, 470, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.