Online GCD Calculator is useful to find the GCD of 238, 102, 52, 618 quickly. Get the easiest ways to solve the greatest common divisor of 238, 102, 52, 618 i.e 2 in different methods as follows.
Given Input numbers are 238, 102, 52, 618
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
GCD of numbers is the greatest common divisor
So, the GCD (238, 102, 52, 618) = 2.
Given numbers are 238, 102, 52, 618
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 102 are 2 x 3 x 17
Prime factors of 52 are 2 x 2 x 13
Prime factors of 618 are 2 x 3 x 103
The highest common occurrence is 21
Therefore, GCD of 238, 102, 52, 618 is 2.
Given numbers are 238, 102, 52, 618
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 102) = 714
GCD(238, 102) = ( 238 x 102 ) / 714
= 238 / 102
= 238
Step2:
LCM(34, 52) = 884
GCD(34, 52) = ( 34 x 52 ) / 884
= 34 / 52
= 34
Step3:
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
= 2 / 618
= 2
So, Greatest Common Divisor of 238, 102, 52, 618 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 102, 52, 618
The greatest common divisor of numbers 238, 102, 52, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 102, 52, 618 is 2.
1. What is the GCD of 238, 102, 52, 618?
GCD of given numbers 238, 102, 52, 618 is 2
2. How to calculate the greatest common divisor of 238, 102, 52, 618?
We can find the highest common divisor of 238, 102, 52, 618 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, 102, 52, 618 i.e 2.
3. How can I use the GCD of 238, 102, 52, 618Calculator?
Out the numbers 238, 102, 52, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.