Online GCD Calculator is useful to find the GCD of 648, 550, 838, 302 quickly. Get the easiest ways to solve the greatest common divisor of 648, 550, 838, 302 i.e 2 in different methods as follows.
Given Input numbers are 648, 550, 838, 302
In the factoring method, we have to find the divisors of all numbers
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 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 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (648, 550, 838, 302) = 2.
Given numbers are 648, 550, 838, 302
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 838 are 2 x 419
Prime factors of 302 are 2 x 151
The highest common occurrence is 21
Therefore, GCD of 648, 550, 838, 302 is 2.
Given numbers are 648, 550, 838, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 550) = 178200
GCD(648, 550) = ( 648 x 550 ) / 178200
= 648 / 550
= 648
Step2:
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
= 2 / 838
= 2
Step3:
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
= 2 / 302
= 2
So, Greatest Common Divisor of 648, 550, 838, 302 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 550, 838, 302
The greatest common divisor of numbers 648, 550, 838, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 550, 838, 302 is 2.
1. What is the GCD of 648, 550, 838, 302?
GCD of given numbers 648, 550, 838, 302 is 2
2. How to calculate the greatest common divisor of 648, 550, 838, 302?
We can find the highest common divisor of 648, 550, 838, 302 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 648, 550, 838, 302 i.e 2.
3. How can I use the GCD of 648, 550, 838, 302Calculator?
Out the numbers 648, 550, 838, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.