Online GCD Calculator is useful to find the GCD of 108, 441, 658, 789 quickly. Get the easiest ways to solve the greatest common divisor of 108, 441, 658, 789 i.e 1 in different methods as follows.
Given Input numbers are 108, 441, 658, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (108, 441, 658, 789) = 1.
Given numbers are 108, 441, 658, 789
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 658 are 2 x 7 x 47
Prime factors of 789 are 3 x 263
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 441, 658, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 441) = 5292
GCD(108, 441) = ( 108 x 441 ) / 5292
= 108 / 441
= 108
Step2:
LCM(9, 658) = 5922
GCD(9, 658) = ( 9 x 658 ) / 5922
= 9 / 658
= 9
Step3:
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
= 1 / 789
= 1
So, Greatest Common Divisor of 108, 441, 658, 789 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 441, 658, 789
The greatest common divisor of numbers 108, 441, 658, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 441, 658, 789 is 1.
1. What is the GCD of 108, 441, 658, 789?
GCD of given numbers 108, 441, 658, 789 is 1
2. How to calculate the greatest common divisor of 108, 441, 658, 789?
We can find the highest common divisor of 108, 441, 658, 789 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 108, 441, 658, 789 i.e 1.
3. How can I use the GCD of 108, 441, 658, 789Calculator?
Out the numbers 108, 441, 658, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.