Online GCD Calculator is useful to find the GCD of 688, 590, 441, 342 quickly. Get the easiest ways to solve the greatest common divisor of 688, 590, 441, 342 i.e 1 in different methods as follows.
Given Input numbers are 688, 590, 441, 342
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 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (688, 590, 441, 342) = 1.
Given numbers are 688, 590, 441, 342
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 590 are 2 x 5 x 59
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 688, 590, 441, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 590) = 202960
GCD(688, 590) = ( 688 x 590 ) / 202960
= 688 / 590
= 688
Step2:
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
= 2 / 441
= 2
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 688, 590, 441, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 590, 441, 342
The greatest common divisor of numbers 688, 590, 441, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 590, 441, 342 is 1.
1. What is the GCD of 688, 590, 441, 342?
GCD of given numbers 688, 590, 441, 342 is 1
2. How to calculate the greatest common divisor of 688, 590, 441, 342?
We can find the highest common divisor of 688, 590, 441, 342 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, 590, 441, 342 i.e 1.
3. How can I use the GCD of 688, 590, 441, 342Calculator?
Out the numbers 688, 590, 441, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.