Online GCD Calculator is useful to find the GCD of 500, 145, 238, 736 quickly. Get the easiest ways to solve the greatest common divisor of 500, 145, 238, 736 i.e 1 in different methods as follows.
Given Input numbers are 500, 145, 238, 736
In the factoring method, we have to find the divisors of all numbers
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 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (500, 145, 238, 736) = 1.
Given numbers are 500, 145, 238, 736
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 145 are 5 x 29
Prime factors of 238 are 2 x 7 x 17
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 145, 238, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 145) = 14500
GCD(500, 145) = ( 500 x 145 ) / 14500
= 500 / 145
= 500
Step2:
LCM(5, 238) = 1190
GCD(5, 238) = ( 5 x 238 ) / 1190
= 5 / 238
= 5
Step3:
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
= 1 / 736
= 1
So, Greatest Common Divisor of 500, 145, 238, 736 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 145, 238, 736
The greatest common divisor of numbers 500, 145, 238, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 145, 238, 736 is 1.
1. What is the GCD of 500, 145, 238, 736?
GCD of given numbers 500, 145, 238, 736 is 1
2. How to calculate the greatest common divisor of 500, 145, 238, 736?
We can find the highest common divisor of 500, 145, 238, 736 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 500, 145, 238, 736 i.e 1.
3. How can I use the GCD of 500, 145, 238, 736Calculator?
Out the numbers 500, 145, 238, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.