Online GCD Calculator is useful to find the GCD of 868, 238, 690, 590 quickly. Get the easiest ways to solve the greatest common divisor of 868, 238, 690, 590 i.e 2 in different methods as follows.
Given Input numbers are 868, 238, 690, 590
In the factoring method, we have to find the divisors of all numbers
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (868, 238, 690, 590) = 2.
Given numbers are 868, 238, 690, 590
The list of prime factors of all numbers are
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 238 are 2 x 7 x 17
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21
Therefore, GCD of 868, 238, 690, 590 is 2.
Given numbers are 868, 238, 690, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(868, 238) = 14756
GCD(868, 238) = ( 868 x 238 ) / 14756
= 868 / 238
= 868
Step2:
LCM(14, 690) = 4830
GCD(14, 690) = ( 14 x 690 ) / 4830
= 14 / 690
= 14
Step3:
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
= 2 / 590
= 2
So, Greatest Common Divisor of 868, 238, 690, 590 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 868, 238, 690, 590
The greatest common divisor of numbers 868, 238, 690, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 238, 690, 590 is 2.
1. What is the GCD of 868, 238, 690, 590?
GCD of given numbers 868, 238, 690, 590 is 2
2. How to calculate the greatest common divisor of 868, 238, 690, 590?
We can find the highest common divisor of 868, 238, 690, 590 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 868, 238, 690, 590 i.e 2.
3. How can I use the GCD of 868, 238, 690, 590Calculator?
Out the numbers 868, 238, 690, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.