GCD of 460, 745, 65 Calculator

Given Input numbers are 460, 745, 65

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 460, 745, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 745, 65 is 5.

Therefore, GCD of numbers 460, 745, 65 is 5

Given Input Data is 460, 745, 65

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 745 is 5 x 149

Prime Factorization of 65 is 5 x 13

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(460, 745) = 68540

GCD(460, 745) = ( 460 x 745 ) / 68540

GCD(460, 745) = 342700 / 68540

GCD(460, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 65

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

LCM(5, 65) = 65

GCD(5, 65) = ( 5 x 65 ) / 65

GCD(5, 65) = 325 / 65

GCD(5, 65) = 5

GCD of 460, 745, 65 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 377, 11
• GCD of 838, 160, 87
• GCD of 503, 325, 58
• GCD of 592, 525, 69
• GCD of 871, 366, 95

1. What is the GCD of 460, 745, 65?

GCD of 460, 745, 65 is 5

2. Where do I get the detailed procedure to find GCD of 460, 745, 65?

You can find a detailed procedure to find GCD of 460, 745, 65 on our page.

3. How to find GCD of 460, 745, 65 on a calculator?

You can find the GCD of 460, 745, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.