Online GCD Calculator is useful to find the GCD of 600, 665, 910, 364 quickly. Get the easiest ways to solve the greatest common divisor of 600, 665, 910, 364 i.e 1 in different methods as follows.
Given Input numbers are 600, 665, 910, 364
In the factoring method, we have to find the divisors of all numbers
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 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (600, 665, 910, 364) = 1.
Given numbers are 600, 665, 910, 364
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 665 are 5 x 7 x 19
Prime factors of 910 are 2 x 5 x 7 x 13
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 600, 665, 910, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 665) = 79800
GCD(600, 665) = ( 600 x 665 ) / 79800
= 600 / 665
= 600
Step2:
LCM(5, 910) = 910
GCD(5, 910) = ( 5 x 910 ) / 910
= 5 / 910
= 5
Step3:
LCM(5, 364) = 1820
GCD(5, 364) = ( 5 x 364 ) / 1820
= 5 / 364
= 5
So, Greatest Common Divisor of 600, 665, 910, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 665, 910, 364
The greatest common divisor of numbers 600, 665, 910, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 665, 910, 364 is 1.
1. What is the GCD of 600, 665, 910, 364?
GCD of given numbers 600, 665, 910, 364 is 1
2. How to calculate the greatest common divisor of 600, 665, 910, 364?
We can find the highest common divisor of 600, 665, 910, 364 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 600, 665, 910, 364 i.e 1.
3. How can I use the GCD of 600, 665, 910, 364Calculator?
Out the numbers 600, 665, 910, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.