Online GCD Calculator is useful to find the GCD of 708, 492, 842, 254 quickly. Get the easiest ways to solve the greatest common divisor of 708, 492, 842, 254 i.e 2 in different methods as follows.
Given Input numbers are 708, 492, 842, 254
In the factoring method, we have to find the divisors of all numbers
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
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 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
GCD of numbers is the greatest common divisor
So, the GCD (708, 492, 842, 254) = 2.
Given numbers are 708, 492, 842, 254
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 842 are 2 x 421
Prime factors of 254 are 2 x 127
The highest common occurrence is 21
Therefore, GCD of 708, 492, 842, 254 is 2.
Given numbers are 708, 492, 842, 254
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 492) = 29028
GCD(708, 492) = ( 708 x 492 ) / 29028
= 708 / 492
= 708
Step2:
LCM(12, 842) = 5052
GCD(12, 842) = ( 12 x 842 ) / 5052
= 12 / 842
= 12
Step3:
LCM(2, 254) = 254
GCD(2, 254) = ( 2 x 254 ) / 254
= 2 / 254
= 2
So, Greatest Common Divisor of 708, 492, 842, 254 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 492, 842, 254
The greatest common divisor of numbers 708, 492, 842, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 492, 842, 254 is 2.
1. What is the GCD of 708, 492, 842, 254?
GCD of given numbers 708, 492, 842, 254 is 2
2. How to calculate the greatest common divisor of 708, 492, 842, 254?
We can find the highest common divisor of 708, 492, 842, 254 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 708, 492, 842, 254 i.e 2.
3. How can I use the GCD of 708, 492, 842, 254Calculator?
Out the numbers 708, 492, 842, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.