Online GCD Calculator is useful to find the GCD of 230, 980, 708, 844 quickly. Get the easiest ways to solve the greatest common divisor of 230, 980, 708, 844 i.e 2 in different methods as follows.
Given Input numbers are 230, 980, 708, 844
In the factoring method, we have to find the divisors of all numbers
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
GCD of numbers is the greatest common divisor
So, the GCD (230, 980, 708, 844) = 2.
Given numbers are 230, 980, 708, 844
The list of prime factors of all numbers are
Prime factors of 230 are 2 x 5 x 23
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 844 are 2 x 2 x 211
The highest common occurrence is 21
Therefore, GCD of 230, 980, 708, 844 is 2.
Given numbers are 230, 980, 708, 844
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(230, 980) = 22540
GCD(230, 980) = ( 230 x 980 ) / 22540
= 230 / 980
= 230
Step2:
LCM(10, 708) = 3540
GCD(10, 708) = ( 10 x 708 ) / 3540
= 10 / 708
= 10
Step3:
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
= 2 / 844
= 2
So, Greatest Common Divisor of 230, 980, 708, 844 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 230, 980, 708, 844
The greatest common divisor of numbers 230, 980, 708, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 980, 708, 844 is 2.
1. What is the GCD of 230, 980, 708, 844?
GCD of given numbers 230, 980, 708, 844 is 2
2. How to calculate the greatest common divisor of 230, 980, 708, 844?
We can find the highest common divisor of 230, 980, 708, 844 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 230, 980, 708, 844 i.e 2.
3. How can I use the GCD of 230, 980, 708, 844Calculator?
Out the numbers 230, 980, 708, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.