GCD of 561, 506, 421, 242 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 561, 506, 421, 242 quickly. Get the easiest ways to solve the greatest common divisor of 561, 506, 421, 242 i.e 1 in different methods as follows.
Given Input numbers are 561, 506, 421, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
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 (561, 506, 421, 242) = 1.
Given numbers are 561, 506, 421, 242
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 506 are 2 x 11 x 23
Prime factors of 421 are 421
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 561, 506, 421, 242 using LCM Formula
Given numbers are 561, 506, 421, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 506) = 25806
GCD(561, 506) = ( 561 x 506 ) / 25806
= 561 / 506
= 561
Step2:
LCM(11, 421) = 4631
GCD(11, 421) = ( 11 x 421 ) / 4631
= 11 / 421
= 11
Step3:
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
= 1 / 242
= 1
So, Greatest Common Divisor of 561, 506, 421, 242 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 561, 506, 421, 242
Given numbers are 561, 506, 421, 242
The greatest common divisor of numbers 561, 506, 421, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 506, 421, 242 is 1.
FAQs on GCD of 561, 506, 421, 242 Calculator
1. What is the GCD of 561, 506, 421, 242?
GCD of given numbers 561, 506, 421, 242 is 1
2. How to calculate the greatest common divisor of 561, 506, 421, 242?
We can find the highest common divisor of 561, 506, 421, 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 561, 506, 421, 242 i.e 1.
3. How can I use the GCD of 561, 506, 421, 242Calculator?
Out the numbers 561, 506, 421, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.