GCD of 465, 610, 375 Calculator

Given Input numbers are 465, 610, 375

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 465, 610, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 610, 375 is 5.

Therefore, GCD of numbers 465, 610, 375 is 5

Given Input Data is 465, 610, 375

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 375 is 3 x 5 x 5 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

Step1:

Let's calculate the GCD of first two numbers

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

LCM(465, 610) = 56730

GCD(465, 610) = ( 465 x 610 ) / 56730

GCD(465, 610) = 283650 / 56730

GCD(465, 610) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 375

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

LCM(5, 375) = 375

GCD(5, 375) = ( 5 x 375 ) / 375

GCD(5, 375) = 1875 / 375

GCD(5, 375) = 5

GCD of 465, 610, 375 is 5

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• GCD of 141, 528, 131
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1. What is the GCD of 465, 610, 375?

GCD of 465, 610, 375 is 5

2. Where do I get the detailed procedure to find GCD of 465, 610, 375?

You can find a detailed procedure to find GCD of 465, 610, 375 on our page.

3. How to find GCD of 465, 610, 375 on a calculator?

You can find the GCD of 465, 610, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.