GCD of 142, 801, 565, 689 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 142, 801, 565, 689 i.e. 1 largest integer that divides all the numbers equally.

GCD of 142, 801, 565, 689 is 1

GCD(142, 801, 565, 689) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 142, 801, 565, 689 is 1

GCD(142, 801, 565, 689) = 1

GCD of 142,801,565,689 Calculator

GCDof 142,801,565,689 is 1

Given Input numbers are 142, 801, 565, 689

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 142, 801, 565, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 801, 565, 689 is 1.

Therefore, GCD of numbers 142, 801, 565, 689 is 1

Finding GCD of 142, 801, 565, 689 using Prime Factorization

Given Input Data is 142, 801, 565, 689

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 565 is 5 x 113

Prime Factorization of 689 is 13 x 53

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 142, 801, 565, 689 using LCM Formula

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(142, 801) = 113742

GCD(142, 801) = ( 142 x 801 ) / 113742

GCD(142, 801) = 113742 / 113742

GCD(142, 801) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 142, 801, 565, 689 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 142, 801, 565, 689

1. What is the GCD of 142, 801, 565, 689?

GCD of 142, 801, 565, 689 is 1


2. Where do I get the detailed procedure to find GCD of 142, 801, 565, 689?

You can find a detailed procedure to find GCD of 142, 801, 565, 689 on our page.


3. How to find GCD of 142, 801, 565, 689 on a calculator?

You can find the GCD of 142, 801, 565, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.