GCD of 505, 750, 34, 734 Calculator

Given Input numbers are 505, 750, 34, 734

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 34

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

1, 2, 17, 34

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 505, 750, 34, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 750, 34, 734 is 1.

Therefore, GCD of numbers 505, 750, 34, 734 is 1

Given Input Data is 505, 750, 34, 734

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 34 is 2 x 17

Prime Factorization of 734 is 2 x 367

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(505, 750) = 75750

GCD(505, 750) = ( 505 x 750 ) / 75750

GCD(505, 750) = 378750 / 75750

GCD(505, 750) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 34

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

LCM(5, 34) = 170

GCD(5, 34) = ( 5 x 34 ) / 170

GCD(5, 34) = 170 / 170

GCD(5, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 505, 750, 34, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 267, 99, 481
• GCD of 282, 174, 58, 506
• GCD of 971, 371, 41, 204
• GCD of 610, 278, 72, 765
• GCD of 339, 157, 50, 933

1. What is the GCD of 505, 750, 34, 734?

GCD of 505, 750, 34, 734 is 1

2. Where do I get the detailed procedure to find GCD of 505, 750, 34, 734?

You can find a detailed procedure to find GCD of 505, 750, 34, 734 on our page.

3. How to find GCD of 505, 750, 34, 734 on a calculator?

You can find the GCD of 505, 750, 34, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.