GCD of 75, 514, 770, 800 Calculator

Given Input numbers are 75, 514, 770, 800

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 75, 514, 770, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 514, 770, 800 is 1.

Therefore, GCD of numbers 75, 514, 770, 800 is 1

Given Input Data is 75, 514, 770, 800

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 514 is 2 x 257

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(75, 514) = 38550

GCD(75, 514) = ( 75 x 514 ) / 38550

GCD(75, 514) = 38550 / 38550

GCD(75, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 75, 514, 770, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 495, 257, 425
• GCD of 43, 594, 205, 407
• GCD of 12, 714, 114, 926
• GCD of 70, 816, 284, 650
• GCD of 68, 175, 737, 830

1. What is the GCD of 75, 514, 770, 800?

GCD of 75, 514, 770, 800 is 1

2. Where do I get the detailed procedure to find GCD of 75, 514, 770, 800?

You can find a detailed procedure to find GCD of 75, 514, 770, 800 on our page.

3. How to find GCD of 75, 514, 770, 800 on a calculator?

You can find the GCD of 75, 514, 770, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.