Online GCD Calculator is useful to find the GCD of 884, 214, 626, 680 quickly. Get the easiest ways to solve the greatest common divisor of 884, 214, 626, 680 i.e 2 in different methods as follows.
Given Input numbers are 884, 214, 626, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (884, 214, 626, 680) = 2.
Given numbers are 884, 214, 626, 680
The list of prime factors of all numbers are
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 214 are 2 x 107
Prime factors of 626 are 2 x 313
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 884, 214, 626, 680 is 2.
Given numbers are 884, 214, 626, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(884, 214) = 94588
GCD(884, 214) = ( 884 x 214 ) / 94588
= 884 / 214
= 884
Step2:
LCM(2, 626) = 626
GCD(2, 626) = ( 2 x 626 ) / 626
= 2 / 626
= 2
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 884, 214, 626, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 884, 214, 626, 680
The greatest common divisor of numbers 884, 214, 626, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 884, 214, 626, 680 is 2.
1. What is the GCD of 884, 214, 626, 680?
GCD of given numbers 884, 214, 626, 680 is 2
2. How to calculate the greatest common divisor of 884, 214, 626, 680?
We can find the highest common divisor of 884, 214, 626, 680 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 884, 214, 626, 680 i.e 2.
3. How can I use the GCD of 884, 214, 626, 680Calculator?
Out the numbers 884, 214, 626, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.