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 427, 800, 361, 582 Calculator

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


Online GCD Calculator is useful to find the GCD of 427, 800, 361, 582 quickly. Get the easiest ways to solve the greatest common divisor of 427, 800, 361, 582 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 427, 800, 361, 582 with Factoring?

Given Input numbers are 427, 800, 361, 582

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582


GCD of numbers is the greatest common divisor

So, the GCD (427, 800, 361, 582) = 1.

Find GCD of 427, 800, 361, 582 using Prime Factorization

Given numbers are 427, 800, 361, 582

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 361 are 19 x 19

Prime factors of 582 are 2 x 3 x 97

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

Steps to Calculate GCD of 427, 800, 361, 582 using LCM Formula

Given numbers are 427, 800, 361, 582

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

Apply this formula for all numbers.

Step1:

LCM(427, 800) = 341600

GCD(427, 800) = ( 427 x 800 ) / 341600

= 427 / 800

= 427


Step2:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1


Step3:

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

= 1 / 582

= 1


So, Greatest Common Divisor of 427, 800, 361, 582 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 427, 800, 361, 582

Given numbers are 427, 800, 361, 582
The greatest common divisor of numbers 427, 800, 361, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 800, 361, 582 is 1.

FAQs on GCD of 427, 800, 361, 582 Calculator

1. What is the GCD of 427, 800, 361, 582?

GCD of given numbers 427, 800, 361, 582 is 1


2. How to calculate the greatest common divisor of 427, 800, 361, 582?

We can find the highest common divisor of 427, 800, 361, 582 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 427, 800, 361, 582 i.e 1.


3. How can I use the GCD of 427, 800, 361, 582Calculator?

Out the numbers 427, 800, 361, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.