Online GCD Calculator is useful to find the GCD of 550, 148, 648, 136 quickly. Get the easiest ways to solve the greatest common divisor of 550, 148, 648, 136 i.e 2 in different methods as follows.
Given Input numbers are 550, 148, 648, 136
In the factoring method, we have to find the divisors of all numbers
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
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
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
GCD of numbers is the greatest common divisor
So, the GCD (550, 148, 648, 136) = 2.
Given numbers are 550, 148, 648, 136
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 148 are 2 x 2 x 37
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 136 are 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 550, 148, 648, 136 is 2.
Given numbers are 550, 148, 648, 136
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 148) = 40700
GCD(550, 148) = ( 550 x 148 ) / 40700
= 550 / 148
= 550
Step2:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
Step3:
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
= 2 / 136
= 2
So, Greatest Common Divisor of 550, 148, 648, 136 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 148, 648, 136
The greatest common divisor of numbers 550, 148, 648, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 148, 648, 136 is 2.
1. What is the GCD of 550, 148, 648, 136?
GCD of given numbers 550, 148, 648, 136 is 2
2. How to calculate the greatest common divisor of 550, 148, 648, 136?
We can find the highest common divisor of 550, 148, 648, 136 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 550, 148, 648, 136 i.e 2.
3. How can I use the GCD of 550, 148, 648, 136Calculator?
Out the numbers 550, 148, 648, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.