Online GCD Calculator is useful to find the GCD of 718, 142, 138, 494 quickly. Get the easiest ways to solve the greatest common divisor of 718, 142, 138, 494 i.e 2 in different methods as follows.
Given Input numbers are 718, 142, 138, 494
In the factoring method, we have to find the divisors of all numbers
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
GCD of numbers is the greatest common divisor
So, the GCD (718, 142, 138, 494) = 2.
Given numbers are 718, 142, 138, 494
The list of prime factors of all numbers are
Prime factors of 718 are 2 x 359
Prime factors of 142 are 2 x 71
Prime factors of 138 are 2 x 3 x 23
Prime factors of 494 are 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 718, 142, 138, 494 is 2.
Given numbers are 718, 142, 138, 494
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(718, 142) = 50978
GCD(718, 142) = ( 718 x 142 ) / 50978
= 718 / 142
= 718
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 494) = 494
GCD(2, 494) = ( 2 x 494 ) / 494
= 2 / 494
= 2
So, Greatest Common Divisor of 718, 142, 138, 494 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 718, 142, 138, 494
The greatest common divisor of numbers 718, 142, 138, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 142, 138, 494 is 2.
1. What is the GCD of 718, 142, 138, 494?
GCD of given numbers 718, 142, 138, 494 is 2
2. How to calculate the greatest common divisor of 718, 142, 138, 494?
We can find the highest common divisor of 718, 142, 138, 494 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 718, 142, 138, 494 i.e 2.
3. How can I use the GCD of 718, 142, 138, 494Calculator?
Out the numbers 718, 142, 138, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.