GCD of 780, 760, 33, 714 Calculator

Given Input numbers are 780, 760, 33, 714

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 780, 760, 33, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 760, 33, 714 is 1.

Therefore, GCD of numbers 780, 760, 33, 714 is 1

Given Input Data is 780, 760, 33, 714

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 33 is 3 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(780, 760) = 29640

GCD(780, 760) = ( 780 x 760 ) / 29640

GCD(780, 760) = 592800 / 29640

GCD(780, 760) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 33

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

LCM(20, 33) = 660

GCD(20, 33) = ( 20 x 33 ) / 660

GCD(20, 33) = 660 / 660

GCD(20, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 780, 760, 33, 714 is 1

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1. What is the GCD of 780, 760, 33, 714?

GCD of 780, 760, 33, 714 is 1

2. Where do I get the detailed procedure to find GCD of 780, 760, 33, 714?

You can find a detailed procedure to find GCD of 780, 760, 33, 714 on our page.

3. How to find GCD of 780, 760, 33, 714 on a calculator?

You can find the GCD of 780, 760, 33, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.