Online GCD Calculator is useful to find the GCD of 392, 385, 756, 170 quickly. Get the easiest ways to solve the greatest common divisor of 392, 385, 756, 170 i.e 1 in different methods as follows.
Given Input numbers are 392, 385, 756, 170
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (392, 385, 756, 170) = 1.
Given numbers are 392, 385, 756, 170
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 385 are 5 x 7 x 11
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 170 are 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 392, 385, 756, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 385) = 21560
GCD(392, 385) = ( 392 x 385 ) / 21560
= 392 / 385
= 392
Step2:
LCM(7, 756) = 756
GCD(7, 756) = ( 7 x 756 ) / 756
= 7 / 756
= 7
Step3:
LCM(7, 170) = 1190
GCD(7, 170) = ( 7 x 170 ) / 1190
= 7 / 170
= 7
So, Greatest Common Divisor of 392, 385, 756, 170 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 385, 756, 170
The greatest common divisor of numbers 392, 385, 756, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 385, 756, 170 is 1.
1. What is the GCD of 392, 385, 756, 170?
GCD of given numbers 392, 385, 756, 170 is 1
2. How to calculate the greatest common divisor of 392, 385, 756, 170?
We can find the highest common divisor of 392, 385, 756, 170 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 392, 385, 756, 170 i.e 1.
3. How can I use the GCD of 392, 385, 756, 170Calculator?
Out the numbers 392, 385, 756, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.