GCD of 365, 142, 557, 699 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 365, 142, 557, 699 i.e. 1 largest integer that divides all the numbers equally.

GCD of 365, 142, 557, 699 is 1

GCD(365, 142, 557, 699) = 1

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

GCD of

GCD of numbers 365, 142, 557, 699 is 1

GCD(365, 142, 557, 699) = 1

GCD of 365,142,557,699 Calculator

GCDof 365,142,557,699 is 1

Given Input numbers are 365, 142, 557, 699

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 142

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

1, 2, 71, 142

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 365, 142, 557, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 142, 557, 699 is 1.

Therefore, GCD of numbers 365, 142, 557, 699 is 1

Finding GCD of 365, 142, 557, 699 using Prime Factorization

Given Input Data is 365, 142, 557, 699

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 142 is 2 x 71

Prime Factorization of 557 is 557

Prime Factorization of 699 is 3 x 233

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

Finding GCD of 365, 142, 557, 699 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(365, 142) = 51830

GCD(365, 142) = ( 365 x 142 ) / 51830

GCD(365, 142) = 51830 / 51830

GCD(365, 142) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 365, 142, 557, 699 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 365, 142, 557, 699

1. What is the GCD of 365, 142, 557, 699?

GCD of 365, 142, 557, 699 is 1


2. Where do I get the detailed procedure to find GCD of 365, 142, 557, 699?

You can find a detailed procedure to find GCD of 365, 142, 557, 699 on our page.


3. How to find GCD of 365, 142, 557, 699 on a calculator?

You can find the GCD of 365, 142, 557, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.