Online GCD Calculator is useful to find the GCD of 380, 750, 910 quickly. Get the easiest ways to solve the greatest common divisor of 380, 750, 910 i.e 10 in different methods as follows.
Given Input numbers are 380, 750, 910
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 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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
GCD of numbers is the greatest common divisor
So, the GCD (380, 750, 910) = 10.
Given numbers are 380, 750, 910
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 910 are 2 x 5 x 7 x 13
The highest common occurrence is 21 x 51
Therefore, GCD of 380, 750, 910 is 10.
Given numbers are 380, 750, 910
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 750) = 28500
GCD(380, 750) = ( 380 x 750 ) / 28500
= 380 / 750
= 380
Step2:
LCM(10, 910) = 910
GCD(10, 910) = ( 10 x 910 ) / 910
= 10 / 910
= 10
So, Greatest Common Divisor of 380, 750, 910 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 750, 910
The greatest common divisor of numbers 380, 750, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 750, 910 is 10.
1. What is the GCD of 380, 750, 910?
GCD of given numbers 380, 750, 910 is 10
2. How to calculate the greatest common divisor of 380, 750, 910?
We can find the highest common divisor of 380, 750, 910 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, 750, 910 i.e 10.
3. How can I use the GCD of 380, 750, 910Calculator?
Out the numbers 380, 750, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.