GCD of 363, 120, 766, 499 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 363, 120, 766, 499 quickly. Get the easiest ways to solve the greatest common divisor of 363, 120, 766, 499 i.e 1 in different methods as follows.
Given Input numbers are 363, 120, 766, 499
In the factoring method, we have to find the divisors of all numbers
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
Divisors of 499 :
The positive integer divisors of 499 that completely divides 499 are.
1, 499
GCD of numbers is the greatest common divisor
So, the GCD (363, 120, 766, 499) = 1.
Given numbers are 363, 120, 766, 499
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 766 are 2 x 383
Prime factors of 499 are 499
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 363, 120, 766, 499 using LCM Formula
Given numbers are 363, 120, 766, 499
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 120) = 14520
GCD(363, 120) = ( 363 x 120 ) / 14520
= 363 / 120
= 363
Step2:
LCM(3, 766) = 2298
GCD(3, 766) = ( 3 x 766 ) / 2298
= 3 / 766
= 3
Step3:
LCM(1, 499) = 499
GCD(1, 499) = ( 1 x 499 ) / 499
= 1 / 499
= 1
So, Greatest Common Divisor of 363, 120, 766, 499 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 363, 120, 766, 499
Given numbers are 363, 120, 766, 499
The greatest common divisor of numbers 363, 120, 766, 499 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 120, 766, 499 is 1.
FAQs on GCD of 363, 120, 766, 499 Calculator
1. What is the GCD of 363, 120, 766, 499?
GCD of given numbers 363, 120, 766, 499 is 1
2. How to calculate the greatest common divisor of 363, 120, 766, 499?
We can find the highest common divisor of 363, 120, 766, 499 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 363, 120, 766, 499 i.e 1.
3. How can I use the GCD of 363, 120, 766, 499Calculator?
Out the numbers 363, 120, 766, 499 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.