Online GCD Calculator is useful to find the GCD of 170, 745, 745, 400 quickly. Get the easiest ways to solve the greatest common divisor of 170, 745, 745, 400 i.e 5 in different methods as follows.
Given Input numbers are 170, 745, 745, 400
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 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (170, 745, 745, 400) = 5.
Given numbers are 170, 745, 745, 400
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 745 are 5 x 149
Prime factors of 745 are 5 x 149
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 170, 745, 745, 400 is 5.
Given numbers are 170, 745, 745, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 745) = 25330
GCD(170, 745) = ( 170 x 745 ) / 25330
= 170 / 745
= 170
Step2:
LCM(5, 745) = 745
GCD(5, 745) = ( 5 x 745 ) / 745
= 5 / 745
= 5
Step3:
LCM(5, 400) = 400
GCD(5, 400) = ( 5 x 400 ) / 400
= 5 / 400
= 5
So, Greatest Common Divisor of 170, 745, 745, 400 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 745, 745, 400
The greatest common divisor of numbers 170, 745, 745, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 745, 745, 400 is 5.
1. What is the GCD of 170, 745, 745, 400?
GCD of given numbers 170, 745, 745, 400 is 5
2. How to calculate the greatest common divisor of 170, 745, 745, 400?
We can find the highest common divisor of 170, 745, 745, 400 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, 745, 745, 400 i.e 5.
3. How can I use the GCD of 170, 745, 745, 400Calculator?
Out the numbers 170, 745, 745, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.