Online GCD Calculator is useful to find the GCD of 170, 718, 378, 334 quickly. Get the easiest ways to solve the greatest common divisor of 170, 718, 378, 334 i.e 2 in different methods as follows.
Given Input numbers are 170, 718, 378, 334
In the factoring method, we have to find the divisors of all numbers
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
GCD of numbers is the greatest common divisor
So, the GCD (170, 718, 378, 334) = 2.
Given numbers are 170, 718, 378, 334
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 718 are 2 x 359
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 334 are 2 x 167
The highest common occurrence is 21
Therefore, GCD of 170, 718, 378, 334 is 2.
Given numbers are 170, 718, 378, 334
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 718) = 61030
GCD(170, 718) = ( 170 x 718 ) / 61030
= 170 / 718
= 170
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
Step3:
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
= 2 / 334
= 2
So, Greatest Common Divisor of 170, 718, 378, 334 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 718, 378, 334
The greatest common divisor of numbers 170, 718, 378, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 718, 378, 334 is 2.
1. What is the GCD of 170, 718, 378, 334?
GCD of given numbers 170, 718, 378, 334 is 2
2. How to calculate the greatest common divisor of 170, 718, 378, 334?
We can find the highest common divisor of 170, 718, 378, 334 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 170, 718, 378, 334 i.e 2.
3. How can I use the GCD of 170, 718, 378, 334Calculator?
Out the numbers 170, 718, 378, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.