Online GCD Calculator is useful to find the GCD of 667, 916, 600, 165 quickly. Get the easiest ways to solve the greatest common divisor of 667, 916, 600, 165 i.e 1 in different methods as follows.
Given Input numbers are 667, 916, 600, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 667 :
The positive integer divisors of 667 that completely divides 667 are.
1, 23, 29, 667
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (667, 916, 600, 165) = 1.
Given numbers are 667, 916, 600, 165
The list of prime factors of all numbers are
Prime factors of 667 are 23 x 29
Prime factors of 916 are 2 x 2 x 229
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 165 are 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 667, 916, 600, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(667, 916) = 610972
GCD(667, 916) = ( 667 x 916 ) / 610972
= 667 / 916
= 667
Step2:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
Step3:
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
= 1 / 165
= 1
So, Greatest Common Divisor of 667, 916, 600, 165 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 667, 916, 600, 165
The greatest common divisor of numbers 667, 916, 600, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 667, 916, 600, 165 is 1.
1. What is the GCD of 667, 916, 600, 165?
GCD of given numbers 667, 916, 600, 165 is 1
2. How to calculate the greatest common divisor of 667, 916, 600, 165?
We can find the highest common divisor of 667, 916, 600, 165 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 667, 916, 600, 165 i.e 1.
3. How can I use the GCD of 667, 916, 600, 165Calculator?
Out the numbers 667, 916, 600, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.