Online GCD Calculator is useful to find the GCD of 352, 354, 341, 723 quickly. Get the easiest ways to solve the greatest common divisor of 352, 354, 341, 723 i.e 1 in different methods as follows.
Given Input numbers are 352, 354, 341, 723
In the factoring method, we have to find the divisors of all numbers
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
GCD of numbers is the greatest common divisor
So, the GCD (352, 354, 341, 723) = 1.
Given numbers are 352, 354, 341, 723
The list of prime factors of all numbers are
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 354 are 2 x 3 x 59
Prime factors of 341 are 11 x 31
Prime factors of 723 are 3 x 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 352, 354, 341, 723
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 354) = 62304
GCD(352, 354) = ( 352 x 354 ) / 62304
= 352 / 354
= 352
Step2:
LCM(2, 341) = 682
GCD(2, 341) = ( 2 x 341 ) / 682
= 2 / 341
= 2
Step3:
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
= 1 / 723
= 1
So, Greatest Common Divisor of 352, 354, 341, 723 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 354, 341, 723
The greatest common divisor of numbers 352, 354, 341, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 354, 341, 723 is 1.
1. What is the GCD of 352, 354, 341, 723?
GCD of given numbers 352, 354, 341, 723 is 1
2. How to calculate the greatest common divisor of 352, 354, 341, 723?
We can find the highest common divisor of 352, 354, 341, 723 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 352, 354, 341, 723 i.e 1.
3. How can I use the GCD of 352, 354, 341, 723Calculator?
Out the numbers 352, 354, 341, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.