Online GCD Calculator is useful to find the GCD of 648, 123, 196, 680 quickly. Get the easiest ways to solve the greatest common divisor of 648, 123, 196, 680 i.e 1 in different methods as follows.
Given Input numbers are 648, 123, 196, 680
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 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (648, 123, 196, 680) = 1.
Given numbers are 648, 123, 196, 680
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 123 are 3 x 41
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 648, 123, 196, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 123) = 26568
GCD(648, 123) = ( 648 x 123 ) / 26568
= 648 / 123
= 648
Step2:
LCM(3, 196) = 588
GCD(3, 196) = ( 3 x 196 ) / 588
= 3 / 196
= 3
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 648, 123, 196, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 123, 196, 680
The greatest common divisor of numbers 648, 123, 196, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 123, 196, 680 is 1.
1. What is the GCD of 648, 123, 196, 680?
GCD of given numbers 648, 123, 196, 680 is 1
2. How to calculate the greatest common divisor of 648, 123, 196, 680?
We can find the highest common divisor of 648, 123, 196, 680 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, 123, 196, 680 i.e 1.
3. How can I use the GCD of 648, 123, 196, 680Calculator?
Out the numbers 648, 123, 196, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.