Online GCD Calculator is useful to find the GCD of 600, 715, 236, 218 quickly. Get the easiest ways to solve the greatest common divisor of 600, 715, 236, 218 i.e 1 in different methods as follows.
Given Input numbers are 600, 715, 236, 218
In the factoring method, we have to find the divisors of all numbers
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 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
GCD of numbers is the greatest common divisor
So, the GCD (600, 715, 236, 218) = 1.
Given numbers are 600, 715, 236, 218
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 715 are 5 x 11 x 13
Prime factors of 236 are 2 x 2 x 59
Prime factors of 218 are 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 600, 715, 236, 218
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 715) = 85800
GCD(600, 715) = ( 600 x 715 ) / 85800
= 600 / 715
= 600
Step2:
LCM(5, 236) = 1180
GCD(5, 236) = ( 5 x 236 ) / 1180
= 5 / 236
= 5
Step3:
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
= 1 / 218
= 1
So, Greatest Common Divisor of 600, 715, 236, 218 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 715, 236, 218
The greatest common divisor of numbers 600, 715, 236, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 715, 236, 218 is 1.
1. What is the GCD of 600, 715, 236, 218?
GCD of given numbers 600, 715, 236, 218 is 1
2. How to calculate the greatest common divisor of 600, 715, 236, 218?
We can find the highest common divisor of 600, 715, 236, 218 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 600, 715, 236, 218 i.e 1.
3. How can I use the GCD of 600, 715, 236, 218Calculator?
Out the numbers 600, 715, 236, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.