GCD of 614, 765, 143 Calculator

Given Input numbers are 614, 765, 143

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 614, 765, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 765, 143 is 1.

Therefore, GCD of numbers 614, 765, 143 is 1

Given Input Data is 614, 765, 143

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 143 is 11 x 13

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(614, 765) = 469710

GCD(614, 765) = ( 614 x 765 ) / 469710

GCD(614, 765) = 469710 / 469710

GCD(614, 765) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 614, 765, 143 is 1

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1. What is the GCD of 614, 765, 143?

GCD of 614, 765, 143 is 1

2. Where do I get the detailed procedure to find GCD of 614, 765, 143?

You can find a detailed procedure to find GCD of 614, 765, 143 on our page.

3. How to find GCD of 614, 765, 143 on a calculator?

You can find the GCD of 614, 765, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.