Online GCD Calculator is useful to find the GCD of 236, 338, 407, 420 quickly. Get the easiest ways to solve the greatest common divisor of 236, 338, 407, 420 i.e 1 in different methods as follows.
Given Input numbers are 236, 338, 407, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
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 (236, 338, 407, 420) = 1.
Given numbers are 236, 338, 407, 420
The list of prime factors of all numbers are
Prime factors of 236 are 2 x 2 x 59
Prime factors of 338 are 2 x 13 x 13
Prime factors of 407 are 11 x 37
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 236, 338, 407, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(236, 338) = 39884
GCD(236, 338) = ( 236 x 338 ) / 39884
= 236 / 338
= 236
Step2:
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
= 2 / 407
= 2
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 236, 338, 407, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 236, 338, 407, 420
The greatest common divisor of numbers 236, 338, 407, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 338, 407, 420 is 1.
1. What is the GCD of 236, 338, 407, 420?
GCD of given numbers 236, 338, 407, 420 is 1
2. How to calculate the greatest common divisor of 236, 338, 407, 420?
We can find the highest common divisor of 236, 338, 407, 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 236, 338, 407, 420 i.e 1.
3. How can I use the GCD of 236, 338, 407, 420Calculator?
Out the numbers 236, 338, 407, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.