Online GCD Calculator is useful to find the GCD of 648, 962, 304, 748 quickly. Get the easiest ways to solve the greatest common divisor of 648, 962, 304, 748 i.e 2 in different methods as follows.
Given Input numbers are 648, 962, 304, 748
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 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (648, 962, 304, 748) = 2.
Given numbers are 648, 962, 304, 748
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 962 are 2 x 13 x 37
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 648, 962, 304, 748 is 2.
Given numbers are 648, 962, 304, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 962) = 311688
GCD(648, 962) = ( 648 x 962 ) / 311688
= 648 / 962
= 648
Step2:
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
= 2 / 304
= 2
Step3:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 648, 962, 304, 748 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 962, 304, 748
The greatest common divisor of numbers 648, 962, 304, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 962, 304, 748 is 2.
1. What is the GCD of 648, 962, 304, 748?
GCD of given numbers 648, 962, 304, 748 is 2
2. How to calculate the greatest common divisor of 648, 962, 304, 748?
We can find the highest common divisor of 648, 962, 304, 748 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, 962, 304, 748 i.e 2.
3. How can I use the GCD of 648, 962, 304, 748Calculator?
Out the numbers 648, 962, 304, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.