Online GCD Calculator is useful to find the GCD of 538, 396, 140, 314 quickly. Get the easiest ways to solve the greatest common divisor of 538, 396, 140, 314 i.e 2 in different methods as follows.
Given Input numbers are 538, 396, 140, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (538, 396, 140, 314) = 2.
Given numbers are 538, 396, 140, 314
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 314 are 2 x 157
The highest common occurrence is 21
Therefore, GCD of 538, 396, 140, 314 is 2.
Given numbers are 538, 396, 140, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 396) = 106524
GCD(538, 396) = ( 538 x 396 ) / 106524
= 538 / 396
= 538
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
So, Greatest Common Divisor of 538, 396, 140, 314 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 396, 140, 314
The greatest common divisor of numbers 538, 396, 140, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 396, 140, 314 is 2.
1. What is the GCD of 538, 396, 140, 314?
GCD of given numbers 538, 396, 140, 314 is 2
2. How to calculate the greatest common divisor of 538, 396, 140, 314?
We can find the highest common divisor of 538, 396, 140, 314 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 538, 396, 140, 314 i.e 2.
3. How can I use the GCD of 538, 396, 140, 314Calculator?
Out the numbers 538, 396, 140, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.