Online GCD Calculator is useful to find the GCD of 369, 600, 295, 120 quickly. Get the easiest ways to solve the greatest common divisor of 369, 600, 295, 120 i.e 1 in different methods as follows.
Given Input numbers are 369, 600, 295, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
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 295 :
The positive integer divisors of 295 that completely divides 295 are.
1, 5, 59, 295
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (369, 600, 295, 120) = 1.
Given numbers are 369, 600, 295, 120
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 295 are 5 x 59
Prime factors of 120 are 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 369, 600, 295, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 600) = 73800
GCD(369, 600) = ( 369 x 600 ) / 73800
= 369 / 600
= 369
Step2:
LCM(3, 295) = 885
GCD(3, 295) = ( 3 x 295 ) / 885
= 3 / 295
= 3
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 369, 600, 295, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 600, 295, 120
The greatest common divisor of numbers 369, 600, 295, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 600, 295, 120 is 1.
1. What is the GCD of 369, 600, 295, 120?
GCD of given numbers 369, 600, 295, 120 is 1
2. How to calculate the greatest common divisor of 369, 600, 295, 120?
We can find the highest common divisor of 369, 600, 295, 120 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 369, 600, 295, 120 i.e 1.
3. How can I use the GCD of 369, 600, 295, 120Calculator?
Out the numbers 369, 600, 295, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.