GCD of 441, 374, 311, 242 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 441, 374, 311, 242 quickly. Get the easiest ways to solve the greatest common divisor of 441, 374, 311, 242 i.e 1 in different methods as follows.
Given Input numbers are 441, 374, 311, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (441, 374, 311, 242) = 1.
Given numbers are 441, 374, 311, 242
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 374 are 2 x 11 x 17
Prime factors of 311 are 311
Prime factors of 242 are 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 441, 374, 311, 242 using LCM Formula
Given numbers are 441, 374, 311, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 374) = 164934
GCD(441, 374) = ( 441 x 374 ) / 164934
= 441 / 374
= 441
Step2:
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
= 1 / 311
= 1
Step3:
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
= 1 / 242
= 1
So, Greatest Common Divisor of 441, 374, 311, 242 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 441, 374, 311, 242
Given numbers are 441, 374, 311, 242
The greatest common divisor of numbers 441, 374, 311, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 374, 311, 242 is 1.
FAQs on GCD of 441, 374, 311, 242 Calculator
1. What is the GCD of 441, 374, 311, 242?
GCD of given numbers 441, 374, 311, 242 is 1
2. How to calculate the greatest common divisor of 441, 374, 311, 242?
We can find the highest common divisor of 441, 374, 311, 242 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 441, 374, 311, 242 i.e 1.
3. How can I use the GCD of 441, 374, 311, 242Calculator?
Out the numbers 441, 374, 311, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.