Online GCD Calculator is useful to find the GCD of 316, 710, 380, 550 quickly. Get the easiest ways to solve the greatest common divisor of 316, 710, 380, 550 i.e 2 in different methods as follows.
Given Input numbers are 316, 710, 380, 550
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
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 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
GCD of numbers is the greatest common divisor
So, the GCD (316, 710, 380, 550) = 2.
Given numbers are 316, 710, 380, 550
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 710 are 2 x 5 x 71
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 550 are 2 x 5 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 316, 710, 380, 550 is 2.
Given numbers are 316, 710, 380, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 710) = 112180
GCD(316, 710) = ( 316 x 710 ) / 112180
= 316 / 710
= 316
Step2:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
Step3:
LCM(2, 550) = 550
GCD(2, 550) = ( 2 x 550 ) / 550
= 2 / 550
= 2
So, Greatest Common Divisor of 316, 710, 380, 550 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 710, 380, 550
The greatest common divisor of numbers 316, 710, 380, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 710, 380, 550 is 2.
1. What is the GCD of 316, 710, 380, 550?
GCD of given numbers 316, 710, 380, 550 is 2
2. How to calculate the greatest common divisor of 316, 710, 380, 550?
We can find the highest common divisor of 316, 710, 380, 550 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 316, 710, 380, 550 i.e 2.
3. How can I use the GCD of 316, 710, 380, 550Calculator?
Out the numbers 316, 710, 380, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.