Online GCD Calculator is useful to find the GCD of 688, 260, 596, 788 quickly. Get the easiest ways to solve the greatest common divisor of 688, 260, 596, 788 i.e 4 in different methods as follows.
Given Input numbers are 688, 260, 596, 788
In the factoring method, we have to find the divisors of all numbers
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
GCD of numbers is the greatest common divisor
So, the GCD (688, 260, 596, 788) = 4.
Given numbers are 688, 260, 596, 788
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 596 are 2 x 2 x 149
Prime factors of 788 are 2 x 2 x 197
The highest common occurrence is 22
Therefore, GCD of 688, 260, 596, 788 is 4.
Given numbers are 688, 260, 596, 788
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 260) = 44720
GCD(688, 260) = ( 688 x 260 ) / 44720
= 688 / 260
= 688
Step2:
LCM(4, 596) = 596
GCD(4, 596) = ( 4 x 596 ) / 596
= 4 / 596
= 4
Step3:
LCM(4, 788) = 788
GCD(4, 788) = ( 4 x 788 ) / 788
= 4 / 788
= 4
So, Greatest Common Divisor of 688, 260, 596, 788 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 260, 596, 788
The greatest common divisor of numbers 688, 260, 596, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 260, 596, 788 is 4.
1. What is the GCD of 688, 260, 596, 788?
GCD of given numbers 688, 260, 596, 788 is 4
2. How to calculate the greatest common divisor of 688, 260, 596, 788?
We can find the highest common divisor of 688, 260, 596, 788 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 688, 260, 596, 788 i.e 4.
3. How can I use the GCD of 688, 260, 596, 788Calculator?
Out the numbers 688, 260, 596, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.