GCD of 660, 750, 51, 875 Calculator

Given Input numbers are 660, 750, 51, 875

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 660, 750, 51, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 750, 51, 875 is 1.

Therefore, GCD of numbers 660, 750, 51, 875 is 1

Given Input Data is 660, 750, 51, 875

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(660, 750) = 16500

GCD(660, 750) = ( 660 x 750 ) / 16500

GCD(660, 750) = 495000 / 16500

GCD(660, 750) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 51

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

LCM(30, 51) = 510

GCD(30, 51) = ( 30 x 51 ) / 510

GCD(30, 51) = 1530 / 510

GCD(30, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 875

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

LCM(3, 875) = 2625

GCD(3, 875) = ( 3 x 875 ) / 2625

GCD(3, 875) = 2625 / 2625

GCD(3, 875) = 1

GCD of 660, 750, 51, 875 is 1

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1. What is the GCD of 660, 750, 51, 875?

GCD of 660, 750, 51, 875 is 1

2. Where do I get the detailed procedure to find GCD of 660, 750, 51, 875?

You can find a detailed procedure to find GCD of 660, 750, 51, 875 on our page.

3. How to find GCD of 660, 750, 51, 875 on a calculator?

You can find the GCD of 660, 750, 51, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.