Online GCD Calculator is useful to find the GCD of 57, 58, 64, 90 quickly. Get the easiest ways to solve the greatest common divisor of 57, 58, 64, 90 i.e 1 in different methods as follows.
Given Input numbers are 57, 58, 64, 90
In the factoring method, we have to find the divisors of all numbers
Divisors of 57 :
The positive integer divisors of 57 that completely divides 57 are.
1, 3, 19, 57
Divisors of 58 :
The positive integer divisors of 58 that completely divides 58 are.
1, 2, 29, 58
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
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
GCD of numbers is the greatest common divisor
So, the GCD (57, 58, 64, 90) = 1.
Given numbers are 57, 58, 64, 90
The list of prime factors of all numbers are
Prime factors of 57 are 3 x 19
Prime factors of 58 are 2 x 29
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 90 are 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 57, 58, 64, 90
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(57, 58) = 3306
GCD(57, 58) = ( 57 x 58 ) / 3306
= 57 / 58
= 57
Step2:
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
= 1 / 64
= 1
Step3:
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
= 1 / 90
= 1
So, Greatest Common Divisor of 57, 58, 64, 90 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 57, 58, 64, 90
The greatest common divisor of numbers 57, 58, 64, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 57, 58, 64, 90 is 1.
1. What is the GCD of 57, 58, 64, 90?
GCD of given numbers 57, 58, 64, 90 is 1
2. How to calculate the greatest common divisor of 57, 58, 64, 90?
We can find the highest common divisor of 57, 58, 64, 90 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 57, 58, 64, 90 i.e 1.
3. How can I use the GCD of 57, 58, 64, 90Calculator?
Out the numbers 57, 58, 64, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.