Online GCD Calculator is useful to find the GCD of 238, 574, 290, 690 quickly. Get the easiest ways to solve the greatest common divisor of 238, 574, 290, 690 i.e 2 in different methods as follows.
Given Input numbers are 238, 574, 290, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
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
GCD of numbers is the greatest common divisor
So, the GCD (238, 574, 290, 690) = 2.
Given numbers are 238, 574, 290, 690
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 574 are 2 x 7 x 41
Prime factors of 290 are 2 x 5 x 29
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 238, 574, 290, 690 is 2.
Given numbers are 238, 574, 290, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 574) = 9758
GCD(238, 574) = ( 238 x 574 ) / 9758
= 238 / 574
= 238
Step2:
LCM(14, 290) = 2030
GCD(14, 290) = ( 14 x 290 ) / 2030
= 14 / 290
= 14
Step3:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
So, Greatest Common Divisor of 238, 574, 290, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 574, 290, 690
The greatest common divisor of numbers 238, 574, 290, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 574, 290, 690 is 2.
1. What is the GCD of 238, 574, 290, 690?
GCD of given numbers 238, 574, 290, 690 is 2
2. How to calculate the greatest common divisor of 238, 574, 290, 690?
We can find the highest common divisor of 238, 574, 290, 690 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 238, 574, 290, 690 i.e 2.
3. How can I use the GCD of 238, 574, 290, 690Calculator?
Out the numbers 238, 574, 290, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.