Online GCD Calculator is useful to find the GCD of 474, 177, 216, 669 quickly. Get the easiest ways to solve the greatest common divisor of 474, 177, 216, 669 i.e 3 in different methods as follows.
Given Input numbers are 474, 177, 216, 669
In the factoring method, we have to find the divisors of all numbers
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
GCD of numbers is the greatest common divisor
So, the GCD (474, 177, 216, 669) = 3.
Given numbers are 474, 177, 216, 669
The list of prime factors of all numbers are
Prime factors of 474 are 2 x 3 x 79
Prime factors of 177 are 3 x 59
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 669 are 3 x 223
The highest common occurrence is 31
Therefore, GCD of 474, 177, 216, 669 is 3.
Given numbers are 474, 177, 216, 669
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(474, 177) = 27966
GCD(474, 177) = ( 474 x 177 ) / 27966
= 474 / 177
= 474
Step2:
LCM(3, 216) = 216
GCD(3, 216) = ( 3 x 216 ) / 216
= 3 / 216
= 3
Step3:
LCM(3, 669) = 669
GCD(3, 669) = ( 3 x 669 ) / 669
= 3 / 669
= 3
So, Greatest Common Divisor of 474, 177, 216, 669 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 474, 177, 216, 669
The greatest common divisor of numbers 474, 177, 216, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 177, 216, 669 is 3.
1. What is the GCD of 474, 177, 216, 669?
GCD of given numbers 474, 177, 216, 669 is 3
2. How to calculate the greatest common divisor of 474, 177, 216, 669?
We can find the highest common divisor of 474, 177, 216, 669 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 474, 177, 216, 669 i.e 3.
3. How can I use the GCD of 474, 177, 216, 669Calculator?
Out the numbers 474, 177, 216, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.