Online GCD Calculator is useful to find the GCD of 542, 444, 820, 558 quickly. Get the easiest ways to solve the greatest common divisor of 542, 444, 820, 558 i.e 2 in different methods as follows.
Given Input numbers are 542, 444, 820, 558
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 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
GCD of numbers is the greatest common divisor
So, the GCD (542, 444, 820, 558) = 2.
Given numbers are 542, 444, 820, 558
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 558 are 2 x 3 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 542, 444, 820, 558 is 2.
Given numbers are 542, 444, 820, 558
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 444) = 120324
GCD(542, 444) = ( 542 x 444 ) / 120324
= 542 / 444
= 542
Step2:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
Step3:
LCM(2, 558) = 558
GCD(2, 558) = ( 2 x 558 ) / 558
= 2 / 558
= 2
So, Greatest Common Divisor of 542, 444, 820, 558 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 444, 820, 558
The greatest common divisor of numbers 542, 444, 820, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 444, 820, 558 is 2.
1. What is the GCD of 542, 444, 820, 558?
GCD of given numbers 542, 444, 820, 558 is 2
2. How to calculate the greatest common divisor of 542, 444, 820, 558?
We can find the highest common divisor of 542, 444, 820, 558 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, 444, 820, 558 i.e 2.
3. How can I use the GCD of 542, 444, 820, 558Calculator?
Out the numbers 542, 444, 820, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.