Online GCD Calculator is useful to find the GCD of 688, 732, 407, 344 quickly. Get the easiest ways to solve the greatest common divisor of 688, 732, 407, 344 i.e 1 in different methods as follows.
Given Input numbers are 688, 732, 407, 344
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (688, 732, 407, 344) = 1.
Given numbers are 688, 732, 407, 344
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 732 are 2 x 2 x 3 x 61
Prime factors of 407 are 11 x 37
Prime factors of 344 are 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 688, 732, 407, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 732) = 125904
GCD(688, 732) = ( 688 x 732 ) / 125904
= 688 / 732
= 688
Step2:
LCM(4, 407) = 1628
GCD(4, 407) = ( 4 x 407 ) / 1628
= 4 / 407
= 4
Step3:
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
= 1 / 344
= 1
So, Greatest Common Divisor of 688, 732, 407, 344 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 732, 407, 344
The greatest common divisor of numbers 688, 732, 407, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 732, 407, 344 is 1.
1. What is the GCD of 688, 732, 407, 344?
GCD of given numbers 688, 732, 407, 344 is 1
2. How to calculate the greatest common divisor of 688, 732, 407, 344?
We can find the highest common divisor of 688, 732, 407, 344 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, 732, 407, 344 i.e 1.
3. How can I use the GCD of 688, 732, 407, 344Calculator?
Out the numbers 688, 732, 407, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.