Online GCD Calculator is useful to find the GCD of 688, 343, 456, 796 quickly. Get the easiest ways to solve the greatest common divisor of 688, 343, 456, 796 i.e 1 in different methods as follows.
Given Input numbers are 688, 343, 456, 796
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 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (688, 343, 456, 796) = 1.
Given numbers are 688, 343, 456, 796
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 343 are 7 x 7 x 7
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 796 are 2 x 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 688, 343, 456, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 343) = 235984
GCD(688, 343) = ( 688 x 343 ) / 235984
= 688 / 343
= 688
Step2:
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
= 1 / 456
= 1
Step3:
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
= 1 / 796
= 1
So, Greatest Common Divisor of 688, 343, 456, 796 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 343, 456, 796
The greatest common divisor of numbers 688, 343, 456, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 343, 456, 796 is 1.
1. What is the GCD of 688, 343, 456, 796?
GCD of given numbers 688, 343, 456, 796 is 1
2. How to calculate the greatest common divisor of 688, 343, 456, 796?
We can find the highest common divisor of 688, 343, 456, 796 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, 343, 456, 796 i.e 1.
3. How can I use the GCD of 688, 343, 456, 796Calculator?
Out the numbers 688, 343, 456, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.