Online GCD Calculator is useful to find the GCD of 470, 504, 736, 646 quickly. Get the easiest ways to solve the greatest common divisor of 470, 504, 736, 646 i.e 2 in different methods as follows.
Given Input numbers are 470, 504, 736, 646
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (470, 504, 736, 646) = 2.
Given numbers are 470, 504, 736, 646
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 646 are 2 x 17 x 19
The highest common occurrence is 21
Therefore, GCD of 470, 504, 736, 646 is 2.
Given numbers are 470, 504, 736, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 504) = 118440
GCD(470, 504) = ( 470 x 504 ) / 118440
= 470 / 504
= 470
Step2:
LCM(2, 736) = 736
GCD(2, 736) = ( 2 x 736 ) / 736
= 2 / 736
= 2
Step3:
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
= 2 / 646
= 2
So, Greatest Common Divisor of 470, 504, 736, 646 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 504, 736, 646
The greatest common divisor of numbers 470, 504, 736, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 504, 736, 646 is 2.
1. What is the GCD of 470, 504, 736, 646?
GCD of given numbers 470, 504, 736, 646 is 2
2. How to calculate the greatest common divisor of 470, 504, 736, 646?
We can find the highest common divisor of 470, 504, 736, 646 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 470, 504, 736, 646 i.e 2.
3. How can I use the GCD of 470, 504, 736, 646Calculator?
Out the numbers 470, 504, 736, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.