Online GCD Calculator is useful to find the GCD of 270, 300, 699, 680 quickly. Get the easiest ways to solve the greatest common divisor of 270, 300, 699, 680 i.e 1 in different methods as follows.
Given Input numbers are 270, 300, 699, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
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
GCD of numbers is the greatest common divisor
So, the GCD (270, 300, 699, 680) = 1.
Given numbers are 270, 300, 699, 680
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 699 are 3 x 233
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 300, 699, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 300) = 2700
GCD(270, 300) = ( 270 x 300 ) / 2700
= 270 / 300
= 270
Step2:
LCM(30, 699) = 6990
GCD(30, 699) = ( 30 x 699 ) / 6990
= 30 / 699
= 30
Step3:
LCM(3, 680) = 2040
GCD(3, 680) = ( 3 x 680 ) / 2040
= 3 / 680
= 3
So, Greatest Common Divisor of 270, 300, 699, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 300, 699, 680
The greatest common divisor of numbers 270, 300, 699, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 300, 699, 680 is 1.
1. What is the GCD of 270, 300, 699, 680?
GCD of given numbers 270, 300, 699, 680 is 1
2. How to calculate the greatest common divisor of 270, 300, 699, 680?
We can find the highest common divisor of 270, 300, 699, 680 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 270, 300, 699, 680 i.e 1.
3. How can I use the GCD of 270, 300, 699, 680Calculator?
Out the numbers 270, 300, 699, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.