Online GCD Calculator is useful to find the GCD of 648, 260, 698, 768 quickly. Get the easiest ways to solve the greatest common divisor of 648, 260, 698, 768 i.e 2 in different methods as follows.
Given Input numbers are 648, 260, 698, 768
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 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
GCD of numbers is the greatest common divisor
So, the GCD (648, 260, 698, 768) = 2.
Given numbers are 648, 260, 698, 768
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 260 are 2 x 2 x 5 x 13
Prime factors of 698 are 2 x 349
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 648, 260, 698, 768 is 2.
Given numbers are 648, 260, 698, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 260) = 42120
GCD(648, 260) = ( 648 x 260 ) / 42120
= 648 / 260
= 648
Step2:
LCM(4, 698) = 1396
GCD(4, 698) = ( 4 x 698 ) / 1396
= 4 / 698
= 4
Step3:
LCM(2, 768) = 768
GCD(2, 768) = ( 2 x 768 ) / 768
= 2 / 768
= 2
So, Greatest Common Divisor of 648, 260, 698, 768 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 260, 698, 768
The greatest common divisor of numbers 648, 260, 698, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 260, 698, 768 is 2.
1. What is the GCD of 648, 260, 698, 768?
GCD of given numbers 648, 260, 698, 768 is 2
2. How to calculate the greatest common divisor of 648, 260, 698, 768?
We can find the highest common divisor of 648, 260, 698, 768 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, 260, 698, 768 i.e 2.
3. How can I use the GCD of 648, 260, 698, 768Calculator?
Out the numbers 648, 260, 698, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.