Online GCD Calculator is useful to find the GCD of 470, 472, 492, 708 quickly. Get the easiest ways to solve the greatest common divisor of 470, 472, 492, 708 i.e 2 in different methods as follows.
Given Input numbers are 470, 472, 492, 708
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (470, 472, 492, 708) = 2.
Given numbers are 470, 472, 492, 708
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 470, 472, 492, 708 is 2.
Given numbers are 470, 472, 492, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 472) = 110920
GCD(470, 472) = ( 470 x 472 ) / 110920
= 470 / 472
= 470
Step2:
LCM(2, 492) = 492
GCD(2, 492) = ( 2 x 492 ) / 492
= 2 / 492
= 2
Step3:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
So, Greatest Common Divisor of 470, 472, 492, 708 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 472, 492, 708
The greatest common divisor of numbers 470, 472, 492, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 472, 492, 708 is 2.
1. What is the GCD of 470, 472, 492, 708?
GCD of given numbers 470, 472, 492, 708 is 2
2. How to calculate the greatest common divisor of 470, 472, 492, 708?
We can find the highest common divisor of 470, 472, 492, 708 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, 472, 492, 708 i.e 2.
3. How can I use the GCD of 470, 472, 492, 708Calculator?
Out the numbers 470, 472, 492, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.