Online GCD Calculator is useful to find the GCD of 684, 210, 488, 910 quickly. Get the easiest ways to solve the greatest common divisor of 684, 210, 488, 910 i.e 2 in different methods as follows.
Given Input numbers are 684, 210, 488, 910
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
GCD of numbers is the greatest common divisor
So, the GCD (684, 210, 488, 910) = 2.
Given numbers are 684, 210, 488, 910
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 910 are 2 x 5 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 684, 210, 488, 910 is 2.
Given numbers are 684, 210, 488, 910
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 210) = 23940
GCD(684, 210) = ( 684 x 210 ) / 23940
= 684 / 210
= 684
Step2:
LCM(6, 488) = 1464
GCD(6, 488) = ( 6 x 488 ) / 1464
= 6 / 488
= 6
Step3:
LCM(2, 910) = 910
GCD(2, 910) = ( 2 x 910 ) / 910
= 2 / 910
= 2
So, Greatest Common Divisor of 684, 210, 488, 910 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 210, 488, 910
The greatest common divisor of numbers 684, 210, 488, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 210, 488, 910 is 2.
1. What is the GCD of 684, 210, 488, 910?
GCD of given numbers 684, 210, 488, 910 is 2
2. How to calculate the greatest common divisor of 684, 210, 488, 910?
We can find the highest common divisor of 684, 210, 488, 910 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 684, 210, 488, 910 i.e 2.
3. How can I use the GCD of 684, 210, 488, 910Calculator?
Out the numbers 684, 210, 488, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.