Online GCD Calculator is useful to find the GCD of 720, 474, 174 quickly. Get the easiest ways to solve the greatest common divisor of 720, 474, 174 i.e 6 in different methods as follows.
Given Input numbers are 720, 474, 174
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
GCD of numbers is the greatest common divisor
So, the GCD (720, 474, 174) = 6.
Given numbers are 720, 474, 174
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 474 are 2 x 3 x 79
Prime factors of 174 are 2 x 3 x 29
The highest common occurrence is 21 x 31
Therefore, GCD of 720, 474, 174 is 6.
Given numbers are 720, 474, 174
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 474) = 56880
GCD(720, 474) = ( 720 x 474 ) / 56880
= 720 / 474
= 720
Step2:
LCM(6, 174) = 174
GCD(6, 174) = ( 6 x 174 ) / 174
= 6 / 174
= 6
So, Greatest Common Divisor of 720, 474, 174 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 474, 174
The greatest common divisor of numbers 720, 474, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 474, 174 is 6.
1. What is the GCD of 720, 474, 174?
GCD of given numbers 720, 474, 174 is 6
2. How to calculate the greatest common divisor of 720, 474, 174?
We can find the highest common divisor of 720, 474, 174 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 720, 474, 174 i.e 6.
3. How can I use the GCD of 720, 474, 174Calculator?
Out the numbers 720, 474, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.