Online GCD Calculator is useful to find the GCD of 238, 572, 272, 484 quickly. Get the easiest ways to solve the greatest common divisor of 238, 572, 272, 484 i.e 2 in different methods as follows.
Given Input numbers are 238, 572, 272, 484
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 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (238, 572, 272, 484) = 2.
Given numbers are 238, 572, 272, 484
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 484 are 2 x 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 238, 572, 272, 484 is 2.
Given numbers are 238, 572, 272, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 572) = 68068
GCD(238, 572) = ( 238 x 572 ) / 68068
= 238 / 572
= 238
Step2:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
Step3:
LCM(2, 484) = 484
GCD(2, 484) = ( 2 x 484 ) / 484
= 2 / 484
= 2
So, Greatest Common Divisor of 238, 572, 272, 484 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 572, 272, 484
The greatest common divisor of numbers 238, 572, 272, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 572, 272, 484 is 2.
1. What is the GCD of 238, 572, 272, 484?
GCD of given numbers 238, 572, 272, 484 is 2
2. How to calculate the greatest common divisor of 238, 572, 272, 484?
We can find the highest common divisor of 238, 572, 272, 484 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, 572, 272, 484 i.e 2.
3. How can I use the GCD of 238, 572, 272, 484Calculator?
Out the numbers 238, 572, 272, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.