Online GCD Calculator is useful to find the GCD of 558, 798, 638, 658 quickly. Get the easiest ways to solve the greatest common divisor of 558, 798, 638, 658 i.e 2 in different methods as follows.
Given Input numbers are 558, 798, 638, 658
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
GCD of numbers is the greatest common divisor
So, the GCD (558, 798, 638, 658) = 2.
Given numbers are 558, 798, 638, 658
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 638 are 2 x 11 x 29
Prime factors of 658 are 2 x 7 x 47
The highest common occurrence is 21
Therefore, GCD of 558, 798, 638, 658 is 2.
Given numbers are 558, 798, 638, 658
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 798) = 74214
GCD(558, 798) = ( 558 x 798 ) / 74214
= 558 / 798
= 558
Step2:
LCM(6, 638) = 1914
GCD(6, 638) = ( 6 x 638 ) / 1914
= 6 / 638
= 6
Step3:
LCM(2, 658) = 658
GCD(2, 658) = ( 2 x 658 ) / 658
= 2 / 658
= 2
So, Greatest Common Divisor of 558, 798, 638, 658 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 798, 638, 658
The greatest common divisor of numbers 558, 798, 638, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 798, 638, 658 is 2.
1. What is the GCD of 558, 798, 638, 658?
GCD of given numbers 558, 798, 638, 658 is 2
2. How to calculate the greatest common divisor of 558, 798, 638, 658?
We can find the highest common divisor of 558, 798, 638, 658 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 558, 798, 638, 658 i.e 2.
3. How can I use the GCD of 558, 798, 638, 658Calculator?
Out the numbers 558, 798, 638, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.