GCD of 363, 286, 105, 771 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 363, 286, 105, 771 quickly. Get the easiest ways to solve the greatest common divisor of 363, 286, 105, 771 i.e 1 in different methods as follows.
Given Input numbers are 363, 286, 105, 771
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 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
GCD of numbers is the greatest common divisor
So, the GCD (363, 286, 105, 771) = 1.
Given numbers are 363, 286, 105, 771
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 286 are 2 x 11 x 13
Prime factors of 105 are 3 x 5 x 7
Prime factors of 771 are 3 x 257
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 363, 286, 105, 771 using LCM Formula
Given numbers are 363, 286, 105, 771
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 286) = 9438
GCD(363, 286) = ( 363 x 286 ) / 9438
= 363 / 286
= 363
Step2:
LCM(11, 105) = 1155
GCD(11, 105) = ( 11 x 105 ) / 1155
= 11 / 105
= 11
Step3:
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
= 1 / 771
= 1
So, Greatest Common Divisor of 363, 286, 105, 771 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 363, 286, 105, 771
Given numbers are 363, 286, 105, 771
The greatest common divisor of numbers 363, 286, 105, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 286, 105, 771 is 1.
FAQs on GCD of 363, 286, 105, 771 Calculator
1. What is the GCD of 363, 286, 105, 771?
GCD of given numbers 363, 286, 105, 771 is 1
2. How to calculate the greatest common divisor of 363, 286, 105, 771?
We can find the highest common divisor of 363, 286, 105, 771 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, 286, 105, 771 i.e 1.
3. How can I use the GCD of 363, 286, 105, 771Calculator?
Out the numbers 363, 286, 105, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.