Online GCD Calculator is useful to find the GCD of 552, 586, 998, 126 quickly. Get the easiest ways to solve the greatest common divisor of 552, 586, 998, 126 i.e 2 in different methods as follows.
Given Input numbers are 552, 586, 998, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (552, 586, 998, 126) = 2.
Given numbers are 552, 586, 998, 126
The list of prime factors of all numbers are
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 586 are 2 x 293
Prime factors of 998 are 2 x 499
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 552, 586, 998, 126 is 2.
Given numbers are 552, 586, 998, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 586) = 161736
GCD(552, 586) = ( 552 x 586 ) / 161736
= 552 / 586
= 552
Step2:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 552, 586, 998, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 586, 998, 126
The greatest common divisor of numbers 552, 586, 998, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 586, 998, 126 is 2.
1. What is the GCD of 552, 586, 998, 126?
GCD of given numbers 552, 586, 998, 126 is 2
2. How to calculate the greatest common divisor of 552, 586, 998, 126?
We can find the highest common divisor of 552, 586, 998, 126 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 552, 586, 998, 126 i.e 2.
3. How can I use the GCD of 552, 586, 998, 126Calculator?
Out the numbers 552, 586, 998, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.