Online GCD Calculator is useful to find the GCD of 796, 472, 554, 424 quickly. Get the easiest ways to solve the greatest common divisor of 796, 472, 554, 424 i.e 2 in different methods as follows.
Given Input numbers are 796, 472, 554, 424
In the factoring method, we have to find the divisors of all numbers
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 554 :
The positive integer divisors of 554 that completely divides 554 are.
1, 2, 277, 554
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
GCD of numbers is the greatest common divisor
So, the GCD (796, 472, 554, 424) = 2.
Given numbers are 796, 472, 554, 424
The list of prime factors of all numbers are
Prime factors of 796 are 2 x 2 x 199
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 554 are 2 x 277
Prime factors of 424 are 2 x 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 796, 472, 554, 424 is 2.
Given numbers are 796, 472, 554, 424
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(796, 472) = 93928
GCD(796, 472) = ( 796 x 472 ) / 93928
= 796 / 472
= 796
Step2:
LCM(4, 554) = 1108
GCD(4, 554) = ( 4 x 554 ) / 1108
= 4 / 554
= 4
Step3:
LCM(2, 424) = 424
GCD(2, 424) = ( 2 x 424 ) / 424
= 2 / 424
= 2
So, Greatest Common Divisor of 796, 472, 554, 424 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 796, 472, 554, 424
The greatest common divisor of numbers 796, 472, 554, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 472, 554, 424 is 2.
1. What is the GCD of 796, 472, 554, 424?
GCD of given numbers 796, 472, 554, 424 is 2
2. How to calculate the greatest common divisor of 796, 472, 554, 424?
We can find the highest common divisor of 796, 472, 554, 424 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 796, 472, 554, 424 i.e 2.
3. How can I use the GCD of 796, 472, 554, 424Calculator?
Out the numbers 796, 472, 554, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.