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 407, 331, 791, 500 Calculator

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


Online GCD Calculator is useful to find the GCD of 407, 331, 791, 500 quickly. Get the easiest ways to solve the greatest common divisor of 407, 331, 791, 500 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 407, 331, 791, 500 with Factoring?

Given Input numbers are 407, 331, 791, 500

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500


GCD of numbers is the greatest common divisor

So, the GCD (407, 331, 791, 500) = 1.

Find GCD of 407, 331, 791, 500 using Prime Factorization

Given numbers are 407, 331, 791, 500

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 331 are 331

Prime factors of 791 are 7 x 113

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Steps to Calculate GCD of 407, 331, 791, 500 using LCM Formula

Given numbers are 407, 331, 791, 500

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

Apply this formula for all numbers.

Step1:

LCM(407, 331) = 134717

GCD(407, 331) = ( 407 x 331 ) / 134717

= 407 / 331

= 407


Step2:

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

= 1 / 791

= 1


Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1


So, Greatest Common Divisor of 407, 331, 791, 500 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 407, 331, 791, 500

Given numbers are 407, 331, 791, 500
The greatest common divisor of numbers 407, 331, 791, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 331, 791, 500 is 1.

FAQs on GCD of 407, 331, 791, 500 Calculator

1. What is the GCD of 407, 331, 791, 500?

GCD of given numbers 407, 331, 791, 500 is 1


2. How to calculate the greatest common divisor of 407, 331, 791, 500?

We can find the highest common divisor of 407, 331, 791, 500 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 407, 331, 791, 500 i.e 1.


3. How can I use the GCD of 407, 331, 791, 500Calculator?

Out the numbers 407, 331, 791, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.