Online GCD Calculator is useful to find the GCD of 270, 748, 689, 180 quickly. Get the easiest ways to solve the greatest common divisor of 270, 748, 689, 180 i.e 1 in different methods as follows.
Given Input numbers are 270, 748, 689, 180
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (270, 748, 689, 180) = 1.
Given numbers are 270, 748, 689, 180
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 748 are 2 x 2 x 11 x 17
Prime factors of 689 are 13 x 53
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 748, 689, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 748) = 100980
GCD(270, 748) = ( 270 x 748 ) / 100980
= 270 / 748
= 270
Step2:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 270, 748, 689, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 748, 689, 180
The greatest common divisor of numbers 270, 748, 689, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 748, 689, 180 is 1.
1. What is the GCD of 270, 748, 689, 180?
GCD of given numbers 270, 748, 689, 180 is 1
2. How to calculate the greatest common divisor of 270, 748, 689, 180?
We can find the highest common divisor of 270, 748, 689, 180 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, 748, 689, 180 i.e 1.
3. How can I use the GCD of 270, 748, 689, 180Calculator?
Out the numbers 270, 748, 689, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.