Online GCD Calculator is useful to find the GCD of 200, 165, 152, 480 quickly. Get the easiest ways to solve the greatest common divisor of 200, 165, 152, 480 i.e 1 in different methods as follows.
Given Input numbers are 200, 165, 152, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (200, 165, 152, 480) = 1.
Given numbers are 200, 165, 152, 480
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 165 are 3 x 5 x 11
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 165, 152, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 165) = 6600
GCD(200, 165) = ( 200 x 165 ) / 6600
= 200 / 165
= 200
Step2:
LCM(5, 152) = 760
GCD(5, 152) = ( 5 x 152 ) / 760
= 5 / 152
= 5
Step3:
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
= 1 / 480
= 1
So, Greatest Common Divisor of 200, 165, 152, 480 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 165, 152, 480
The greatest common divisor of numbers 200, 165, 152, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 165, 152, 480 is 1.
1. What is the GCD of 200, 165, 152, 480?
GCD of given numbers 200, 165, 152, 480 is 1
2. How to calculate the greatest common divisor of 200, 165, 152, 480?
We can find the highest common divisor of 200, 165, 152, 480 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 200, 165, 152, 480 i.e 1.
3. How can I use the GCD of 200, 165, 152, 480Calculator?
Out the numbers 200, 165, 152, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.