Online GCD Calculator is useful to find the GCD of 214, 600, 688 quickly. Get the easiest ways to solve the greatest common divisor of 214, 600, 688 i.e 2 in different methods as follows.
Given Input numbers are 214, 600, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
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 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (214, 600, 688) = 2.
Given numbers are 214, 600, 688
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 214, 600, 688 is 2.
Given numbers are 214, 600, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 600) = 64200
GCD(214, 600) = ( 214 x 600 ) / 64200
= 214 / 600
= 214
Step2:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
So, Greatest Common Divisor of 214, 600, 688 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 214, 600, 688
The greatest common divisor of numbers 214, 600, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 600, 688 is 2.
1. What is the GCD of 214, 600, 688?
GCD of given numbers 214, 600, 688 is 2
2. How to calculate the greatest common divisor of 214, 600, 688?
We can find the highest common divisor of 214, 600, 688 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 214, 600, 688 i.e 2.
3. How can I use the GCD of 214, 600, 688Calculator?
Out the numbers 214, 600, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.