Online GCD Calculator is useful to find the GCD of 343, 688, 391, 706 quickly. Get the easiest ways to solve the greatest common divisor of 343, 688, 391, 706 i.e 1 in different methods as follows.
Given Input numbers are 343, 688, 391, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
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 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (343, 688, 391, 706) = 1.
Given numbers are 343, 688, 391, 706
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 391 are 17 x 23
Prime factors of 706 are 2 x 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 688, 391, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 688) = 235984
GCD(343, 688) = ( 343 x 688 ) / 235984
= 343 / 688
= 343
Step2:
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
= 1 / 391
= 1
Step3:
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
= 1 / 706
= 1
So, Greatest Common Divisor of 343, 688, 391, 706 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 688, 391, 706
The greatest common divisor of numbers 343, 688, 391, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 688, 391, 706 is 1.
1. What is the GCD of 343, 688, 391, 706?
GCD of given numbers 343, 688, 391, 706 is 1
2. How to calculate the greatest common divisor of 343, 688, 391, 706?
We can find the highest common divisor of 343, 688, 391, 706 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 343, 688, 391, 706 i.e 1.
3. How can I use the GCD of 343, 688, 391, 706Calculator?
Out the numbers 343, 688, 391, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.