Online GCD Calculator is useful to find the GCD of 365, 500, 294, 182 quickly. Get the easiest ways to solve the greatest common divisor of 365, 500, 294, 182 i.e 1 in different methods as follows.
Given Input numbers are 365, 500, 294, 182
In the factoring method, we have to find the divisors of all numbers
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (365, 500, 294, 182) = 1.
Given numbers are 365, 500, 294, 182
The list of prime factors of all numbers are
Prime factors of 365 are 5 x 73
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 182 are 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 365, 500, 294, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(365, 500) = 36500
GCD(365, 500) = ( 365 x 500 ) / 36500
= 365 / 500
= 365
Step2:
LCM(5, 294) = 1470
GCD(5, 294) = ( 5 x 294 ) / 1470
= 5 / 294
= 5
Step3:
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
= 1 / 182
= 1
So, Greatest Common Divisor of 365, 500, 294, 182 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 365, 500, 294, 182
The greatest common divisor of numbers 365, 500, 294, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 500, 294, 182 is 1.
1. What is the GCD of 365, 500, 294, 182?
GCD of given numbers 365, 500, 294, 182 is 1
2. How to calculate the greatest common divisor of 365, 500, 294, 182?
We can find the highest common divisor of 365, 500, 294, 182 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 365, 500, 294, 182 i.e 1.
3. How can I use the GCD of 365, 500, 294, 182Calculator?
Out the numbers 365, 500, 294, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.