Online GCD Calculator is useful to find the GCD of 272, 268, 471, 238 quickly. Get the easiest ways to solve the greatest common divisor of 272, 268, 471, 238 i.e 1 in different methods as follows.
Given Input numbers are 272, 268, 471, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (272, 268, 471, 238) = 1.
Given numbers are 272, 268, 471, 238
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 268 are 2 x 2 x 67
Prime factors of 471 are 3 x 157
Prime factors of 238 are 2 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 268, 471, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 268) = 18224
GCD(272, 268) = ( 272 x 268 ) / 18224
= 272 / 268
= 272
Step2:
LCM(4, 471) = 1884
GCD(4, 471) = ( 4 x 471 ) / 1884
= 4 / 471
= 4
Step3:
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
= 1 / 238
= 1
So, Greatest Common Divisor of 272, 268, 471, 238 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 268, 471, 238
The greatest common divisor of numbers 272, 268, 471, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 268, 471, 238 is 1.
1. What is the GCD of 272, 268, 471, 238?
GCD of given numbers 272, 268, 471, 238 is 1
2. How to calculate the greatest common divisor of 272, 268, 471, 238?
We can find the highest common divisor of 272, 268, 471, 238 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 272, 268, 471, 238 i.e 1.
3. How can I use the GCD of 272, 268, 471, 238Calculator?
Out the numbers 272, 268, 471, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.