GCD of 310, 650, 470 Calculator

Given Input numbers are 310, 650, 470

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

Divisors of 310 :

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

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

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 470 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (310, 650, 470) = 10.

Given numbers are 310, 650, 470

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 310, 650, 470 is 10.

Given numbers are 310, 650, 470

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

Apply this formula for all numbers.

Step1:

LCM(310, 650) = 20150

GCD(310, 650) = ( 310 x 650 ) / 20150

= 310 / 650

= 310

Step2:

LCM(10, 470) = 470

GCD(10, 470) = ( 10 x 470 ) / 470

= 10 / 470

= 10

So, Greatest Common Divisor of 310, 650, 470 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 783, 510
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Given numbers are 310, 650, 470
The greatest common divisor of numbers 310, 650, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 650, 470 is 10.

1. What is the GCD of 310, 650, 470?

GCD of given numbers 310, 650, 470 is 10

2. How to calculate the greatest common divisor of 310, 650, 470?

We can find the highest common divisor of 310, 650, 470 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 310, 650, 470 i.e 10.

3. How can I use the GCD of 310, 650, 470Calculator?

Out the numbers 310, 650, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.