Online GCD Calculator is useful to find the GCD of 176, 148, 345, 372 quickly. Get the easiest ways to solve the greatest common divisor of 176, 148, 345, 372 i.e 1 in different methods as follows.
Given Input numbers are 176, 148, 345, 372
In the factoring method, we have to find the divisors of all numbers
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (176, 148, 345, 372) = 1.
Given numbers are 176, 148, 345, 372
The list of prime factors of all numbers are
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 148 are 2 x 2 x 37
Prime factors of 345 are 3 x 5 x 23
Prime factors of 372 are 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 176, 148, 345, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 148) = 6512
GCD(176, 148) = ( 176 x 148 ) / 6512
= 176 / 148
= 176
Step2:
LCM(4, 345) = 1380
GCD(4, 345) = ( 4 x 345 ) / 1380
= 4 / 345
= 4
Step3:
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
= 1 / 372
= 1
So, Greatest Common Divisor of 176, 148, 345, 372 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 148, 345, 372
The greatest common divisor of numbers 176, 148, 345, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 148, 345, 372 is 1.
1. What is the GCD of 176, 148, 345, 372?
GCD of given numbers 176, 148, 345, 372 is 1
2. How to calculate the greatest common divisor of 176, 148, 345, 372?
We can find the highest common divisor of 176, 148, 345, 372 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 176, 148, 345, 372 i.e 1.
3. How can I use the GCD of 176, 148, 345, 372Calculator?
Out the numbers 176, 148, 345, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.