Online GCD Calculator is useful to find the GCD of 352, 122, 725, 312 quickly. Get the easiest ways to solve the greatest common divisor of 352, 122, 725, 312 i.e 1 in different methods as follows.
Given Input numbers are 352, 122, 725, 312
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 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (352, 122, 725, 312) = 1.
Given numbers are 352, 122, 725, 312
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 122 are 2 x 61
Prime factors of 725 are 5 x 5 x 29
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 352, 122, 725, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 122) = 21472
GCD(352, 122) = ( 352 x 122 ) / 21472
= 352 / 122
= 352
Step2:
LCM(2, 725) = 1450
GCD(2, 725) = ( 2 x 725 ) / 1450
= 2 / 725
= 2
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 352, 122, 725, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 122, 725, 312
The greatest common divisor of numbers 352, 122, 725, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 122, 725, 312 is 1.
1. What is the GCD of 352, 122, 725, 312?
GCD of given numbers 352, 122, 725, 312 is 1
2. How to calculate the greatest common divisor of 352, 122, 725, 312?
We can find the highest common divisor of 352, 122, 725, 312 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, 122, 725, 312 i.e 1.
3. How can I use the GCD of 352, 122, 725, 312Calculator?
Out the numbers 352, 122, 725, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.