GCD of 242, 361, 312 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 242, 361, 312 quickly. Get the easiest ways to solve the greatest common divisor of 242, 361, 312 i.e 1 in different methods as follows.
Given Input numbers are 242, 361, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (242, 361, 312) = 1.
Given numbers are 242, 361, 312
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 361 are 19 x 19
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 242, 361, 312 using LCM Formula
Given numbers are 242, 361, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 361) = 87362
GCD(242, 361) = ( 242 x 361 ) / 87362
= 242 / 361
= 242
Step2:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 242, 361, 312 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 242, 361, 312
Given numbers are 242, 361, 312
The greatest common divisor of numbers 242, 361, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 361, 312 is 1.
FAQs on GCD of 242, 361, 312 Calculator
1. What is the GCD of 242, 361, 312?
GCD of given numbers 242, 361, 312 is 1
2. How to calculate the greatest common divisor of 242, 361, 312?
We can find the highest common divisor of 242, 361, 312 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 242, 361, 312 i.e 1.
3. How can I use the GCD of 242, 361, 312Calculator?
Out the numbers 242, 361, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.