Online GCD Calculator is useful to find the GCD of 134, 658, 558, 648 quickly. Get the easiest ways to solve the greatest common divisor of 134, 658, 558, 648 i.e 2 in different methods as follows.
Given Input numbers are 134, 658, 558, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
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 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (134, 658, 558, 648) = 2.
Given numbers are 134, 658, 558, 648
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 658 are 2 x 7 x 47
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 134, 658, 558, 648 is 2.
Given numbers are 134, 658, 558, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 658) = 44086
GCD(134, 658) = ( 134 x 658 ) / 44086
= 134 / 658
= 134
Step2:
LCM(2, 558) = 558
GCD(2, 558) = ( 2 x 558 ) / 558
= 2 / 558
= 2
Step3:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
So, Greatest Common Divisor of 134, 658, 558, 648 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 658, 558, 648
The greatest common divisor of numbers 134, 658, 558, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 658, 558, 648 is 2.
1. What is the GCD of 134, 658, 558, 648?
GCD of given numbers 134, 658, 558, 648 is 2
2. How to calculate the greatest common divisor of 134, 658, 558, 648?
We can find the highest common divisor of 134, 658, 558, 648 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 134, 658, 558, 648 i.e 2.
3. How can I use the GCD of 134, 658, 558, 648Calculator?
Out the numbers 134, 658, 558, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.