Online GCD Calculator is useful to find the GCD of 174, 338, 887, 380 quickly. Get the easiest ways to solve the greatest common divisor of 174, 338, 887, 380 i.e 1 in different methods as follows.
Given Input numbers are 174, 338, 887, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 887 :
The positive integer divisors of 887 that completely divides 887 are.
1, 887
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (174, 338, 887, 380) = 1.
Given numbers are 174, 338, 887, 380
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 338 are 2 x 13 x 13
Prime factors of 887 are 887
Prime factors of 380 are 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 174, 338, 887, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 338) = 29406
GCD(174, 338) = ( 174 x 338 ) / 29406
= 174 / 338
= 174
Step2:
LCM(2, 887) = 1774
GCD(2, 887) = ( 2 x 887 ) / 1774
= 2 / 887
= 2
Step3:
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
= 1 / 380
= 1
So, Greatest Common Divisor of 174, 338, 887, 380 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 338, 887, 380
The greatest common divisor of numbers 174, 338, 887, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 338, 887, 380 is 1.
1. What is the GCD of 174, 338, 887, 380?
GCD of given numbers 174, 338, 887, 380 is 1
2. How to calculate the greatest common divisor of 174, 338, 887, 380?
We can find the highest common divisor of 174, 338, 887, 380 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 174, 338, 887, 380 i.e 1.
3. How can I use the GCD of 174, 338, 887, 380Calculator?
Out the numbers 174, 338, 887, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.