Online GCD Calculator is useful to find the GCD of 542, 124, 108, 796 quickly. Get the easiest ways to solve the greatest common divisor of 542, 124, 108, 796 i.e 2 in different methods as follows.
Given Input numbers are 542, 124, 108, 796
In the factoring method, we have to find the divisors of all numbers
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (542, 124, 108, 796) = 2.
Given numbers are 542, 124, 108, 796
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 124 are 2 x 2 x 31
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 21
Therefore, GCD of 542, 124, 108, 796 is 2.
Given numbers are 542, 124, 108, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 124) = 33604
GCD(542, 124) = ( 542 x 124 ) / 33604
= 542 / 124
= 542
Step2:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
Step3:
LCM(2, 796) = 796
GCD(2, 796) = ( 2 x 796 ) / 796
= 2 / 796
= 2
So, Greatest Common Divisor of 542, 124, 108, 796 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 124, 108, 796
The greatest common divisor of numbers 542, 124, 108, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 124, 108, 796 is 2.
1. What is the GCD of 542, 124, 108, 796?
GCD of given numbers 542, 124, 108, 796 is 2
2. How to calculate the greatest common divisor of 542, 124, 108, 796?
We can find the highest common divisor of 542, 124, 108, 796 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 542, 124, 108, 796 i.e 2.
3. How can I use the GCD of 542, 124, 108, 796Calculator?
Out the numbers 542, 124, 108, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.