GCD of 783, 714, 757 Calculator

Given Input numbers are 783, 714, 757

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

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

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 783, 714, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 714, 757 is 1.

Therefore, GCD of numbers 783, 714, 757 is 1

Given Input Data is 783, 714, 757

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

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

Prime Factorization of 757 is 757

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(783, 714) = 186354

GCD(783, 714) = ( 783 x 714 ) / 186354

GCD(783, 714) = 559062 / 186354

GCD(783, 714) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 757

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

LCM(3, 757) = 2271

GCD(3, 757) = ( 3 x 757 ) / 2271

GCD(3, 757) = 2271 / 2271

GCD(3, 757) = 1

GCD of 783, 714, 757 is 1

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1. What is the GCD of 783, 714, 757?

GCD of 783, 714, 757 is 1

2. Where do I get the detailed procedure to find GCD of 783, 714, 757?

You can find a detailed procedure to find GCD of 783, 714, 757 on our page.

3. How to find GCD of 783, 714, 757 on a calculator?

You can find the GCD of 783, 714, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.