GCD of 295, 465, 746 Calculator

Given Input numbers are 295, 465, 746

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

Divisors of 295

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

1, 5, 59, 295

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 295, 465, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 465, 746 is 1.

Therefore, GCD of numbers 295, 465, 746 is 1

Given Input Data is 295, 465, 746

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 746 is 2 x 373

The above numbers do not have any common prime factor. So GCD is 1

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(295, 465) = 27435

GCD(295, 465) = ( 295 x 465 ) / 27435

GCD(295, 465) = 137175 / 27435

GCD(295, 465) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 746

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

LCM(5, 746) = 3730

GCD(5, 746) = ( 5 x 746 ) / 3730

GCD(5, 746) = 3730 / 3730

GCD(5, 746) = 1

GCD of 295, 465, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 396, 268
• GCD of 643, 546, 282
• GCD of 905, 398, 761
• GCD of 278, 940, 916
• GCD of 363, 418, 432

1. What is the GCD of 295, 465, 746?

GCD of 295, 465, 746 is 1

2. Where do I get the detailed procedure to find GCD of 295, 465, 746?

You can find a detailed procedure to find GCD of 295, 465, 746 on our page.

3. How to find GCD of 295, 465, 746 on a calculator?

You can find the GCD of 295, 465, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.