GCD of 361, 365, 760 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 361, 365, 760 quickly. Get the easiest ways to solve the greatest common divisor of 361, 365, 760 i.e 1 in different methods as follows.
Given Input numbers are 361, 365, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (361, 365, 760) = 1.
Given numbers are 361, 365, 760
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 365 are 5 x 73
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 361, 365, 760 using LCM Formula
Given numbers are 361, 365, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 365) = 131765
GCD(361, 365) = ( 361 x 365 ) / 131765
= 361 / 365
= 361
Step2:
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
= 1 / 760
= 1
So, Greatest Common Divisor of 361, 365, 760 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 361, 365, 760
Given numbers are 361, 365, 760
The greatest common divisor of numbers 361, 365, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 365, 760 is 1.
FAQs on GCD of 361, 365, 760 Calculator
1. What is the GCD of 361, 365, 760?
GCD of given numbers 361, 365, 760 is 1
2. How to calculate the greatest common divisor of 361, 365, 760?
We can find the highest common divisor of 361, 365, 760 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 361, 365, 760 i.e 1.
3. How can I use the GCD of 361, 365, 760Calculator?
Out the numbers 361, 365, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.