Online GCD Calculator is useful to find the GCD of 538, 660, 914, 238 quickly. Get the easiest ways to solve the greatest common divisor of 538, 660, 914, 238 i.e 2 in different methods as follows.
Given Input numbers are 538, 660, 914, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
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 (538, 660, 914, 238) = 2.
Given numbers are 538, 660, 914, 238
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 914 are 2 x 457
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 538, 660, 914, 238 is 2.
Given numbers are 538, 660, 914, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 660) = 177540
GCD(538, 660) = ( 538 x 660 ) / 177540
= 538 / 660
= 538
Step2:
LCM(2, 914) = 914
GCD(2, 914) = ( 2 x 914 ) / 914
= 2 / 914
= 2
Step3:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
So, Greatest Common Divisor of 538, 660, 914, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 660, 914, 238
The greatest common divisor of numbers 538, 660, 914, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 660, 914, 238 is 2.
1. What is the GCD of 538, 660, 914, 238?
GCD of given numbers 538, 660, 914, 238 is 2
2. How to calculate the greatest common divisor of 538, 660, 914, 238?
We can find the highest common divisor of 538, 660, 914, 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 538, 660, 914, 238 i.e 2.
3. How can I use the GCD of 538, 660, 914, 238Calculator?
Out the numbers 538, 660, 914, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.