Online GCD Calculator is useful to find the GCD of 710, 314, 138 quickly. Get the easiest ways to solve the greatest common divisor of 710, 314, 138 i.e 2 in different methods as follows.
Given Input numbers are 710, 314, 138
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (710, 314, 138) = 2.
Given numbers are 710, 314, 138
The list of prime factors of all numbers are
Prime factors of 710 are 2 x 5 x 71
Prime factors of 314 are 2 x 157
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 710, 314, 138 is 2.
Given numbers are 710, 314, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(710, 314) = 111470
GCD(710, 314) = ( 710 x 314 ) / 111470
= 710 / 314
= 710
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 710, 314, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 710, 314, 138
The greatest common divisor of numbers 710, 314, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 314, 138 is 2.
1. What is the GCD of 710, 314, 138?
GCD of given numbers 710, 314, 138 is 2
2. How to calculate the greatest common divisor of 710, 314, 138?
We can find the highest common divisor of 710, 314, 138 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, 314, 138 i.e 2.
3. How can I use the GCD of 710, 314, 138Calculator?
Out the numbers 710, 314, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.