Online GCD Calculator is useful to find the GCD of 680, 380, 255, 198 quickly. Get the easiest ways to solve the greatest common divisor of 680, 380, 255, 198 i.e 1 in different methods as follows.
Given Input numbers are 680, 380, 255, 198
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (680, 380, 255, 198) = 1.
Given numbers are 680, 380, 255, 198
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 255 are 3 x 5 x 17
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 380, 255, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 380) = 12920
GCD(680, 380) = ( 680 x 380 ) / 12920
= 680 / 380
= 680
Step2:
LCM(20, 255) = 1020
GCD(20, 255) = ( 20 x 255 ) / 1020
= 20 / 255
= 20
Step3:
LCM(5, 198) = 990
GCD(5, 198) = ( 5 x 198 ) / 990
= 5 / 198
= 5
So, Greatest Common Divisor of 680, 380, 255, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 380, 255, 198
The greatest common divisor of numbers 680, 380, 255, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 380, 255, 198 is 1.
1. What is the GCD of 680, 380, 255, 198?
GCD of given numbers 680, 380, 255, 198 is 1
2. How to calculate the greatest common divisor of 680, 380, 255, 198?
We can find the highest common divisor of 680, 380, 255, 198 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 680, 380, 255, 198 i.e 1.
3. How can I use the GCD of 680, 380, 255, 198Calculator?
Out the numbers 680, 380, 255, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.