GCD of 650, 765, 295, 230 Calculator

Given Input numbers are 650, 765, 295, 230

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 650, 765, 295, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 765, 295, 230 is 5.

Therefore, GCD of numbers 650, 765, 295, 230 is 5

Given Input Data is 650, 765, 295, 230

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 295 is 5 x 59

Prime Factorization of 230 is 2 x 5 x 23

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(650, 765) = 99450

GCD(650, 765) = ( 650 x 765 ) / 99450

GCD(650, 765) = 497250 / 99450

GCD(650, 765) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 295

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

LCM(5, 295) = 295

GCD(5, 295) = ( 5 x 295 ) / 295

GCD(5, 295) = 1475 / 295

GCD(5, 295) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 230

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

LCM(5, 230) = 230

GCD(5, 230) = ( 5 x 230 ) / 230

GCD(5, 230) = 1150 / 230

GCD(5, 230) = 5

GCD of 650, 765, 295, 230 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 687, 159, 127
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• GCD of 193, 105, 838, 226

1. What is the GCD of 650, 765, 295, 230?

GCD of 650, 765, 295, 230 is 5

2. Where do I get the detailed procedure to find GCD of 650, 765, 295, 230?

You can find a detailed procedure to find GCD of 650, 765, 295, 230 on our page.

3. How to find GCD of 650, 765, 295, 230 on a calculator?

You can find the GCD of 650, 765, 295, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.