GCD of 34, 744, 615, 275 Calculator

Given Input numbers are 34, 744, 615, 275

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 34, 744, 615, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 744, 615, 275 is 1.

Therefore, GCD of numbers 34, 744, 615, 275 is 1

Given Input Data is 34, 744, 615, 275

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 275 is 5 x 5 x 11

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(34, 744) = 12648

GCD(34, 744) = ( 34 x 744 ) / 12648

GCD(34, 744) = 25296 / 12648

GCD(34, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 615

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

LCM(2, 615) = 1230

GCD(2, 615) = ( 2 x 615 ) / 1230

GCD(2, 615) = 1230 / 1230

GCD(2, 615) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 34, 744, 615, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 201, 115, 595
• GCD of 81, 755, 610, 772
• GCD of 74, 974, 939, 448
• GCD of 77, 663, 984, 610
• GCD of 42, 260, 218, 937

1. What is the GCD of 34, 744, 615, 275?

GCD of 34, 744, 615, 275 is 1

2. Where do I get the detailed procedure to find GCD of 34, 744, 615, 275?

You can find a detailed procedure to find GCD of 34, 744, 615, 275 on our page.

3. How to find GCD of 34, 744, 615, 275 on a calculator?

You can find the GCD of 34, 744, 615, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.