Online GCD Calculator is useful to find the GCD of 191, 238, 21, 172 quickly. Get the easiest ways to solve the greatest common divisor of 191, 238, 21, 172 i.e 1 in different methods as follows.
Given Input numbers are 191, 238, 21, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 191 :
The positive integer divisors of 191 that completely divides 191 are.
1, 191
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (191, 238, 21, 172) = 1.
Given numbers are 191, 238, 21, 172
The list of prime factors of all numbers are
Prime factors of 191 are 191
Prime factors of 238 are 2 x 7 x 17
Prime factors of 21 are 3 x 7
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 191, 238, 21, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(191, 238) = 45458
GCD(191, 238) = ( 191 x 238 ) / 45458
= 191 / 238
= 191
Step2:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 191, 238, 21, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 191, 238, 21, 172
The greatest common divisor of numbers 191, 238, 21, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 191, 238, 21, 172 is 1.
1. What is the GCD of 191, 238, 21, 172?
GCD of given numbers 191, 238, 21, 172 is 1
2. How to calculate the greatest common divisor of 191, 238, 21, 172?
We can find the highest common divisor of 191, 238, 21, 172 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 191, 238, 21, 172 i.e 1.
3. How can I use the GCD of 191, 238, 21, 172Calculator?
Out the numbers 191, 238, 21, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.