Online GCD Calculator is useful to find the GCD of 242, 474, 460, 214 quickly. Get the easiest ways to solve the greatest common divisor of 242, 474, 460, 214 i.e 2 in different methods as follows.
Given Input numbers are 242, 474, 460, 214
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 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (242, 474, 460, 214) = 2.
Given numbers are 242, 474, 460, 214
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 474 are 2 x 3 x 79
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 214 are 2 x 107
The highest common occurrence is 21
Therefore, GCD of 242, 474, 460, 214 is 2.
Given numbers are 242, 474, 460, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 474) = 57354
GCD(242, 474) = ( 242 x 474 ) / 57354
= 242 / 474
= 242
Step2:
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
= 2 / 460
= 2
Step3:
LCM(2, 214) = 214
GCD(2, 214) = ( 2 x 214 ) / 214
= 2 / 214
= 2
So, Greatest Common Divisor of 242, 474, 460, 214 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 474, 460, 214
The greatest common divisor of numbers 242, 474, 460, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 474, 460, 214 is 2.
1. What is the GCD of 242, 474, 460, 214?
GCD of given numbers 242, 474, 460, 214 is 2
2. How to calculate the greatest common divisor of 242, 474, 460, 214?
We can find the highest common divisor of 242, 474, 460, 214 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, 474, 460, 214 i.e 2.
3. How can I use the GCD of 242, 474, 460, 214Calculator?
Out the numbers 242, 474, 460, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.