Online GCD Calculator is useful to find the GCD of 238, 808, 600, 710 quickly. Get the easiest ways to solve the greatest common divisor of 238, 808, 600, 710 i.e 2 in different methods as follows.
Given Input numbers are 238, 808, 600, 710
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 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
GCD of numbers is the greatest common divisor
So, the GCD (238, 808, 600, 710) = 2.
Given numbers are 238, 808, 600, 710
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 710 are 2 x 5 x 71
The highest common occurrence is 21
Therefore, GCD of 238, 808, 600, 710 is 2.
Given numbers are 238, 808, 600, 710
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 808) = 96152
GCD(238, 808) = ( 238 x 808 ) / 96152
= 238 / 808
= 238
Step2:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
Step3:
LCM(2, 710) = 710
GCD(2, 710) = ( 2 x 710 ) / 710
= 2 / 710
= 2
So, Greatest Common Divisor of 238, 808, 600, 710 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 808, 600, 710
The greatest common divisor of numbers 238, 808, 600, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 808, 600, 710 is 2.
1. What is the GCD of 238, 808, 600, 710?
GCD of given numbers 238, 808, 600, 710 is 2
2. How to calculate the greatest common divisor of 238, 808, 600, 710?
We can find the highest common divisor of 238, 808, 600, 710 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, 808, 600, 710 i.e 2.
3. How can I use the GCD of 238, 808, 600, 710Calculator?
Out the numbers 238, 808, 600, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.