Online GCD Calculator is useful to find the GCD of 450, 357, 308, 657 quickly. Get the easiest ways to solve the greatest common divisor of 450, 357, 308, 657 i.e 1 in different methods as follows.
Given Input numbers are 450, 357, 308, 657
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
GCD of numbers is the greatest common divisor
So, the GCD (450, 357, 308, 657) = 1.
Given numbers are 450, 357, 308, 657
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 357 are 3 x 7 x 17
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 657 are 3 x 3 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 450, 357, 308, 657
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 357) = 53550
GCD(450, 357) = ( 450 x 357 ) / 53550
= 450 / 357
= 450
Step2:
LCM(3, 308) = 924
GCD(3, 308) = ( 3 x 308 ) / 924
= 3 / 308
= 3
Step3:
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
= 1 / 657
= 1
So, Greatest Common Divisor of 450, 357, 308, 657 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 357, 308, 657
The greatest common divisor of numbers 450, 357, 308, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 357, 308, 657 is 1.
1. What is the GCD of 450, 357, 308, 657?
GCD of given numbers 450, 357, 308, 657 is 1
2. How to calculate the greatest common divisor of 450, 357, 308, 657?
We can find the highest common divisor of 450, 357, 308, 657 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 450, 357, 308, 657 i.e 1.
3. How can I use the GCD of 450, 357, 308, 657Calculator?
Out the numbers 450, 357, 308, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.