Online GCD Calculator is useful to find the GCD of 494, 938, 312, 662 quickly. Get the easiest ways to solve the greatest common divisor of 494, 938, 312, 662 i.e 2 in different methods as follows.
Given Input numbers are 494, 938, 312, 662
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
GCD of numbers is the greatest common divisor
So, the GCD (494, 938, 312, 662) = 2.
Given numbers are 494, 938, 312, 662
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 938 are 2 x 7 x 67
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 662 are 2 x 331
The highest common occurrence is 21
Therefore, GCD of 494, 938, 312, 662 is 2.
Given numbers are 494, 938, 312, 662
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 938) = 231686
GCD(494, 938) = ( 494 x 938 ) / 231686
= 494 / 938
= 494
Step2:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
Step3:
LCM(2, 662) = 662
GCD(2, 662) = ( 2 x 662 ) / 662
= 2 / 662
= 2
So, Greatest Common Divisor of 494, 938, 312, 662 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 938, 312, 662
The greatest common divisor of numbers 494, 938, 312, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 938, 312, 662 is 2.
1. What is the GCD of 494, 938, 312, 662?
GCD of given numbers 494, 938, 312, 662 is 2
2. How to calculate the greatest common divisor of 494, 938, 312, 662?
We can find the highest common divisor of 494, 938, 312, 662 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 494, 938, 312, 662 i.e 2.
3. How can I use the GCD of 494, 938, 312, 662Calculator?
Out the numbers 494, 938, 312, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.