Online GCD Calculator is useful to find the GCD of 680, 868, 305, 800 quickly. Get the easiest ways to solve the greatest common divisor of 680, 868, 305, 800 i.e 1 in different methods as follows.
Given Input numbers are 680, 868, 305, 800
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 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
GCD of numbers is the greatest common divisor
So, the GCD (680, 868, 305, 800) = 1.
Given numbers are 680, 868, 305, 800
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 868 are 2 x 2 x 7 x 31
Prime factors of 305 are 5 x 61
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 868, 305, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 868) = 147560
GCD(680, 868) = ( 680 x 868 ) / 147560
= 680 / 868
= 680
Step2:
LCM(4, 305) = 1220
GCD(4, 305) = ( 4 x 305 ) / 1220
= 4 / 305
= 4
Step3:
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
= 1 / 800
= 1
So, Greatest Common Divisor of 680, 868, 305, 800 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 868, 305, 800
The greatest common divisor of numbers 680, 868, 305, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 868, 305, 800 is 1.
1. What is the GCD of 680, 868, 305, 800?
GCD of given numbers 680, 868, 305, 800 is 1
2. How to calculate the greatest common divisor of 680, 868, 305, 800?
We can find the highest common divisor of 680, 868, 305, 800 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, 868, 305, 800 i.e 1.
3. How can I use the GCD of 680, 868, 305, 800Calculator?
Out the numbers 680, 868, 305, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.