Online GCD Calculator is useful to find the GCD of 238, 446, 994, 420 quickly. Get the easiest ways to solve the greatest common divisor of 238, 446, 994, 420 i.e 2 in different methods as follows.
Given Input numbers are 238, 446, 994, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (238, 446, 994, 420) = 2.
Given numbers are 238, 446, 994, 420
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 446 are 2 x 223
Prime factors of 994 are 2 x 7 x 71
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 238, 446, 994, 420 is 2.
Given numbers are 238, 446, 994, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 446) = 53074
GCD(238, 446) = ( 238 x 446 ) / 53074
= 238 / 446
= 238
Step2:
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
= 2 / 994
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 238, 446, 994, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 446, 994, 420
The greatest common divisor of numbers 238, 446, 994, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 446, 994, 420 is 2.
1. What is the GCD of 238, 446, 994, 420?
GCD of given numbers 238, 446, 994, 420 is 2
2. How to calculate the greatest common divisor of 238, 446, 994, 420?
We can find the highest common divisor of 238, 446, 994, 420 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 238, 446, 994, 420 i.e 2.
3. How can I use the GCD of 238, 446, 994, 420Calculator?
Out the numbers 238, 446, 994, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.