Online GCD Calculator is useful to find the GCD of 90, 65, 82, 30 quickly. Get the easiest ways to solve the greatest common divisor of 90, 65, 82, 30 i.e 1 in different methods as follows.
Given Input numbers are 90, 65, 82, 30
In the factoring method, we have to find the divisors of all numbers
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 65 :
The positive integer divisors of 65 that completely divides 65 are.
1, 5, 13, 65
Divisors of 82 :
The positive integer divisors of 82 that completely divides 82 are.
1, 2, 41, 82
Divisors of 30 :
The positive integer divisors of 30 that completely divides 30 are.
1, 2, 3, 5, 6, 10, 15, 30
GCD of numbers is the greatest common divisor
So, the GCD (90, 65, 82, 30) = 1.
Given numbers are 90, 65, 82, 30
The list of prime factors of all numbers are
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 65 are 5 x 13
Prime factors of 82 are 2 x 41
Prime factors of 30 are 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 90, 65, 82, 30
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(90, 65) = 1170
GCD(90, 65) = ( 90 x 65 ) / 1170
= 90 / 65
= 90
Step2:
LCM(5, 82) = 410
GCD(5, 82) = ( 5 x 82 ) / 410
= 5 / 82
= 5
Step3:
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
= 1 / 30
= 1
So, Greatest Common Divisor of 90, 65, 82, 30 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 90, 65, 82, 30
The greatest common divisor of numbers 90, 65, 82, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 90, 65, 82, 30 is 1.
1. What is the GCD of 90, 65, 82, 30?
GCD of given numbers 90, 65, 82, 30 is 1
2. How to calculate the greatest common divisor of 90, 65, 82, 30?
We can find the highest common divisor of 90, 65, 82, 30 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 90, 65, 82, 30 i.e 1.
3. How can I use the GCD of 90, 65, 82, 30Calculator?
Out the numbers 90, 65, 82, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.