Online GCD Calculator is useful to find the GCD of 680, 353, 189, 716 quickly. Get the easiest ways to solve the greatest common divisor of 680, 353, 189, 716 i.e 1 in different methods as follows.
Given Input numbers are 680, 353, 189, 716
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 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (680, 353, 189, 716) = 1.
Given numbers are 680, 353, 189, 716
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 353 are 353
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 716 are 2 x 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 353, 189, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 353) = 240040
GCD(680, 353) = ( 680 x 353 ) / 240040
= 680 / 353
= 680
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
Step3:
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
= 1 / 716
= 1
So, Greatest Common Divisor of 680, 353, 189, 716 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 353, 189, 716
The greatest common divisor of numbers 680, 353, 189, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 353, 189, 716 is 1.
1. What is the GCD of 680, 353, 189, 716?
GCD of given numbers 680, 353, 189, 716 is 1
2. How to calculate the greatest common divisor of 680, 353, 189, 716?
We can find the highest common divisor of 680, 353, 189, 716 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, 353, 189, 716 i.e 1.
3. How can I use the GCD of 680, 353, 189, 716Calculator?
Out the numbers 680, 353, 189, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.