GCD of 765, 635, 40, 142 Calculator

Given Input numbers are 765, 635, 40, 142

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

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 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 765, 635, 40, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 635, 40, 142 is 1.

Therefore, GCD of numbers 765, 635, 40, 142 is 1

Given Input Data is 765, 635, 40, 142

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

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 142 is 2 x 71

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(765, 635) = 97155

GCD(765, 635) = ( 765 x 635 ) / 97155

GCD(765, 635) = 485775 / 97155

GCD(765, 635) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 40

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

LCM(5, 40) = 40

GCD(5, 40) = ( 5 x 40 ) / 40

GCD(5, 40) = 200 / 40

GCD(5, 40) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 142

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

LCM(5, 142) = 710

GCD(5, 142) = ( 5 x 142 ) / 710

GCD(5, 142) = 710 / 710

GCD(5, 142) = 1

GCD of 765, 635, 40, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 102, 63, 970
• GCD of 525, 621, 29, 988
• GCD of 819, 552, 10, 594
• GCD of 525, 300, 97, 825
• GCD of 400, 560, 11, 102

1. What is the GCD of 765, 635, 40, 142?

GCD of 765, 635, 40, 142 is 1

2. Where do I get the detailed procedure to find GCD of 765, 635, 40, 142?

You can find a detailed procedure to find GCD of 765, 635, 40, 142 on our page.

3. How to find GCD of 765, 635, 40, 142 on a calculator?

You can find the GCD of 765, 635, 40, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.