GCD of 242, 438, 361, 153 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 242, 438, 361, 153 quickly. Get the easiest ways to solve the greatest common divisor of 242, 438, 361, 153 i.e 1 in different methods as follows.
Given Input numbers are 242, 438, 361, 153
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (242, 438, 361, 153) = 1.
Given numbers are 242, 438, 361, 153
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 438 are 2 x 3 x 73
Prime factors of 361 are 19 x 19
Prime factors of 153 are 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 242, 438, 361, 153 using LCM Formula
Given numbers are 242, 438, 361, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 438) = 52998
GCD(242, 438) = ( 242 x 438 ) / 52998
= 242 / 438
= 242
Step2:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
Step3:
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
= 1 / 153
= 1
So, Greatest Common Divisor of 242, 438, 361, 153 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 242, 438, 361, 153
Given numbers are 242, 438, 361, 153
The greatest common divisor of numbers 242, 438, 361, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 438, 361, 153 is 1.
FAQs on GCD of 242, 438, 361, 153 Calculator
1. What is the GCD of 242, 438, 361, 153?
GCD of given numbers 242, 438, 361, 153 is 1
2. How to calculate the greatest common divisor of 242, 438, 361, 153?
We can find the highest common divisor of 242, 438, 361, 153 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, 438, 361, 153 i.e 1.
3. How can I use the GCD of 242, 438, 361, 153Calculator?
Out the numbers 242, 438, 361, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.