Online GCD Calculator is useful to find the GCD of 380, 385, 500, 630 quickly. Get the easiest ways to solve the greatest common divisor of 380, 385, 500, 630 i.e 5 in different methods as follows.
Given Input numbers are 380, 385, 500, 630
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
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 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
GCD of numbers is the greatest common divisor
So, the GCD (380, 385, 500, 630) = 5.
Given numbers are 380, 385, 500, 630
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 385 are 5 x 7 x 11
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 380, 385, 500, 630 is 5.
Given numbers are 380, 385, 500, 630
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 385) = 29260
GCD(380, 385) = ( 380 x 385 ) / 29260
= 380 / 385
= 380
Step2:
LCM(5, 500) = 500
GCD(5, 500) = ( 5 x 500 ) / 500
= 5 / 500
= 5
Step3:
LCM(5, 630) = 630
GCD(5, 630) = ( 5 x 630 ) / 630
= 5 / 630
= 5
So, Greatest Common Divisor of 380, 385, 500, 630 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 385, 500, 630
The greatest common divisor of numbers 380, 385, 500, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 385, 500, 630 is 5.
1. What is the GCD of 380, 385, 500, 630?
GCD of given numbers 380, 385, 500, 630 is 5
2. How to calculate the greatest common divisor of 380, 385, 500, 630?
We can find the highest common divisor of 380, 385, 500, 630 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 380, 385, 500, 630 i.e 5.
3. How can I use the GCD of 380, 385, 500, 630Calculator?
Out the numbers 380, 385, 500, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.