Online GCD Calculator is useful to find the GCD of 314, 792, 814, 142 quickly. Get the easiest ways to solve the greatest common divisor of 314, 792, 814, 142 i.e 2 in different methods as follows.
Given Input numbers are 314, 792, 814, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (314, 792, 814, 142) = 2.
Given numbers are 314, 792, 814, 142
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 814 are 2 x 11 x 37
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 314, 792, 814, 142 is 2.
Given numbers are 314, 792, 814, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 792) = 124344
GCD(314, 792) = ( 314 x 792 ) / 124344
= 314 / 792
= 314
Step2:
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
= 2 / 814
= 2
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 314, 792, 814, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 792, 814, 142
The greatest common divisor of numbers 314, 792, 814, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 792, 814, 142 is 2.
1. What is the GCD of 314, 792, 814, 142?
GCD of given numbers 314, 792, 814, 142 is 2
2. How to calculate the greatest common divisor of 314, 792, 814, 142?
We can find the highest common divisor of 314, 792, 814, 142 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 314, 792, 814, 142 i.e 2.
3. How can I use the GCD of 314, 792, 814, 142Calculator?
Out the numbers 314, 792, 814, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.