Online GCD Calculator is useful to find the GCD of 492, 656, 694, 708 quickly. Get the easiest ways to solve the greatest common divisor of 492, 656, 694, 708 i.e 2 in different methods as follows.
Given Input numbers are 492, 656, 694, 708
In the factoring method, we have to find the divisors of all numbers
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 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
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 (492, 656, 694, 708) = 2.
Given numbers are 492, 656, 694, 708
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 694 are 2 x 347
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 492, 656, 694, 708 is 2.
Given numbers are 492, 656, 694, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 656) = 1968
GCD(492, 656) = ( 492 x 656 ) / 1968
= 492 / 656
= 492
Step2:
LCM(164, 694) = 56908
GCD(164, 694) = ( 164 x 694 ) / 56908
= 164 / 694
= 164
Step3:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
So, Greatest Common Divisor of 492, 656, 694, 708 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 656, 694, 708
The greatest common divisor of numbers 492, 656, 694, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 656, 694, 708 is 2.
1. What is the GCD of 492, 656, 694, 708?
GCD of given numbers 492, 656, 694, 708 is 2
2. How to calculate the greatest common divisor of 492, 656, 694, 708?
We can find the highest common divisor of 492, 656, 694, 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 492, 656, 694, 708 i.e 2.
3. How can I use the GCD of 492, 656, 694, 708Calculator?
Out the numbers 492, 656, 694, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.