LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 505, 687, 180, 442 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 505, 687, 180, 442 quickly. Get the easiest ways to solve the greatest common divisor of 505, 687, 180, 442 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 505, 687, 180, 442 with Factoring?

Given Input numbers are 505, 687, 180, 442

In the factoring method, we have to find the divisors of all numbers

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (505, 687, 180, 442) = 1.

Find GCD of 505, 687, 180, 442 using Prime Factorization

Given numbers are 505, 687, 180, 442

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 687 are 3 x 229

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 442 are 2 x 13 x 17

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

Steps to Calculate GCD of 505, 687, 180, 442 using LCM Formula

Given numbers are 505, 687, 180, 442

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(505, 687) = 346935

GCD(505, 687) = ( 505 x 687 ) / 346935

= 505 / 687

= 505


Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1


Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1


So, Greatest Common Divisor of 505, 687, 180, 442 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 505, 687, 180, 442

Given numbers are 505, 687, 180, 442
The greatest common divisor of numbers 505, 687, 180, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 687, 180, 442 is 1.

FAQs on GCD of 505, 687, 180, 442 Calculator

1. What is the GCD of 505, 687, 180, 442?

GCD of given numbers 505, 687, 180, 442 is 1


2. How to calculate the greatest common divisor of 505, 687, 180, 442?

We can find the highest common divisor of 505, 687, 180, 442 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 505, 687, 180, 442 i.e 1.


3. How can I use the GCD of 505, 687, 180, 442Calculator?

Out the numbers 505, 687, 180, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.