Online GCD Calculator is useful to find the GCD of 660, 340, 284, 789 quickly. Get the easiest ways to solve the greatest common divisor of 660, 340, 284, 789 i.e 1 in different methods as follows.
Given Input numbers are 660, 340, 284, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
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 (660, 340, 284, 789) = 1.
Given numbers are 660, 340, 284, 789
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 284 are 2 x 2 x 71
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 660, 340, 284, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 340) = 11220
GCD(660, 340) = ( 660 x 340 ) / 11220
= 660 / 340
= 660
Step2:
LCM(20, 284) = 1420
GCD(20, 284) = ( 20 x 284 ) / 1420
= 20 / 284
= 20
Step3:
LCM(4, 789) = 3156
GCD(4, 789) = ( 4 x 789 ) / 3156
= 4 / 789
= 4
So, Greatest Common Divisor of 660, 340, 284, 789 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 340, 284, 789
The greatest common divisor of numbers 660, 340, 284, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 340, 284, 789 is 1.
1. What is the GCD of 660, 340, 284, 789?
GCD of given numbers 660, 340, 284, 789 is 1
2. How to calculate the greatest common divisor of 660, 340, 284, 789?
We can find the highest common divisor of 660, 340, 284, 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 660, 340, 284, 789 i.e 1.
3. How can I use the GCD of 660, 340, 284, 789Calculator?
Out the numbers 660, 340, 284, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.