Online GCD Calculator is useful to find the GCD of 572, 116, 198, 628 quickly. Get the easiest ways to solve the greatest common divisor of 572, 116, 198, 628 i.e 2 in different methods as follows.
Given Input numbers are 572, 116, 198, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (572, 116, 198, 628) = 2.
Given numbers are 572, 116, 198, 628
The list of prime factors of all numbers are
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 116 are 2 x 2 x 29
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 572, 116, 198, 628 is 2.
Given numbers are 572, 116, 198, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(572, 116) = 16588
GCD(572, 116) = ( 572 x 116 ) / 16588
= 572 / 116
= 572
Step2:
LCM(4, 198) = 396
GCD(4, 198) = ( 4 x 198 ) / 396
= 4 / 198
= 4
Step3:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 572, 116, 198, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 572, 116, 198, 628
The greatest common divisor of numbers 572, 116, 198, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 572, 116, 198, 628 is 2.
1. What is the GCD of 572, 116, 198, 628?
GCD of given numbers 572, 116, 198, 628 is 2
2. How to calculate the greatest common divisor of 572, 116, 198, 628?
We can find the highest common divisor of 572, 116, 198, 628 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 572, 116, 198, 628 i.e 2.
3. How can I use the GCD of 572, 116, 198, 628Calculator?
Out the numbers 572, 116, 198, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.