Online GCD Calculator is useful to find the GCD of 337, 157, 422, 214 quickly. Get the easiest ways to solve the greatest common divisor of 337, 157, 422, 214 i.e 1 in different methods as follows.
Given Input numbers are 337, 157, 422, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 337 :
The positive integer divisors of 337 that completely divides 337 are.
1, 337
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
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 (337, 157, 422, 214) = 1.
Given numbers are 337, 157, 422, 214
The list of prime factors of all numbers are
Prime factors of 337 are 337
Prime factors of 157 are 157
Prime factors of 422 are 2 x 211
Prime factors of 214 are 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 337, 157, 422, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(337, 157) = 52909
GCD(337, 157) = ( 337 x 157 ) / 52909
= 337 / 157
= 337
Step2:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
Step3:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
So, Greatest Common Divisor of 337, 157, 422, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 337, 157, 422, 214
The greatest common divisor of numbers 337, 157, 422, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 337, 157, 422, 214 is 1.
1. What is the GCD of 337, 157, 422, 214?
GCD of given numbers 337, 157, 422, 214 is 1
2. How to calculate the greatest common divisor of 337, 157, 422, 214?
We can find the highest common divisor of 337, 157, 422, 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 337, 157, 422, 214 i.e 1.
3. How can I use the GCD of 337, 157, 422, 214Calculator?
Out the numbers 337, 157, 422, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.