Online GCD Calculator is useful to find the GCD of 710, 686, 872 quickly. Get the easiest ways to solve the greatest common divisor of 710, 686, 872 i.e 2 in different methods as follows.
Given Input numbers are 710, 686, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (710, 686, 872) = 2.
Given numbers are 710, 686, 872
The list of prime factors of all numbers are
Prime factors of 710 are 2 x 5 x 71
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 710, 686, 872 is 2.
Given numbers are 710, 686, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(710, 686) = 243530
GCD(710, 686) = ( 710 x 686 ) / 243530
= 710 / 686
= 710
Step2:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 710, 686, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 710, 686, 872
The greatest common divisor of numbers 710, 686, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 686, 872 is 2.
1. What is the GCD of 710, 686, 872?
GCD of given numbers 710, 686, 872 is 2
2. How to calculate the greatest common divisor of 710, 686, 872?
We can find the highest common divisor of 710, 686, 872 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 710, 686, 872 i.e 2.
3. How can I use the GCD of 710, 686, 872Calculator?
Out the numbers 710, 686, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.