Online GCD Calculator is useful to find the GCD of 434, 238, 788, 260 quickly. Get the easiest ways to solve the greatest common divisor of 434, 238, 788, 260 i.e 2 in different methods as follows.
Given Input numbers are 434, 238, 788, 260
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
GCD of numbers is the greatest common divisor
So, the GCD (434, 238, 788, 260) = 2.
Given numbers are 434, 238, 788, 260
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 238 are 2 x 7 x 17
Prime factors of 788 are 2 x 2 x 197
Prime factors of 260 are 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 434, 238, 788, 260 is 2.
Given numbers are 434, 238, 788, 260
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 238) = 7378
GCD(434, 238) = ( 434 x 238 ) / 7378
= 434 / 238
= 434
Step2:
LCM(14, 788) = 5516
GCD(14, 788) = ( 14 x 788 ) / 5516
= 14 / 788
= 14
Step3:
LCM(2, 260) = 260
GCD(2, 260) = ( 2 x 260 ) / 260
= 2 / 260
= 2
So, Greatest Common Divisor of 434, 238, 788, 260 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 238, 788, 260
The greatest common divisor of numbers 434, 238, 788, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 238, 788, 260 is 2.
1. What is the GCD of 434, 238, 788, 260?
GCD of given numbers 434, 238, 788, 260 is 2
2. How to calculate the greatest common divisor of 434, 238, 788, 260?
We can find the highest common divisor of 434, 238, 788, 260 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 434, 238, 788, 260 i.e 2.
3. How can I use the GCD of 434, 238, 788, 260Calculator?
Out the numbers 434, 238, 788, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.