Online GCD Calculator is useful to find the GCD of 648, 508, 723, 148 quickly. Get the easiest ways to solve the greatest common divisor of 648, 508, 723, 148 i.e 1 in different methods as follows.
Given Input numbers are 648, 508, 723, 148
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (648, 508, 723, 148) = 1.
Given numbers are 648, 508, 723, 148
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 508 are 2 x 2 x 127
Prime factors of 723 are 3 x 241
Prime factors of 148 are 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 648, 508, 723, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 508) = 82296
GCD(648, 508) = ( 648 x 508 ) / 82296
= 648 / 508
= 648
Step2:
LCM(4, 723) = 2892
GCD(4, 723) = ( 4 x 723 ) / 2892
= 4 / 723
= 4
Step3:
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
= 1 / 148
= 1
So, Greatest Common Divisor of 648, 508, 723, 148 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 508, 723, 148
The greatest common divisor of numbers 648, 508, 723, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 508, 723, 148 is 1.
1. What is the GCD of 648, 508, 723, 148?
GCD of given numbers 648, 508, 723, 148 is 1
2. How to calculate the greatest common divisor of 648, 508, 723, 148?
We can find the highest common divisor of 648, 508, 723, 148 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, 508, 723, 148 i.e 1.
3. How can I use the GCD of 648, 508, 723, 148Calculator?
Out the numbers 648, 508, 723, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.